Pith Number

pith:GK7NVMVB

pith:2024:GK7NVMVBV5OCXNTEKRELMZXLPP

not attested not anchored not stored refs pending

Singularity formed by the collision of two collapsing solitons in interaction for the 2D Keller-Segel system

Charles Collot, Nader Masmoudi, Tej-Eddine Ghoul, Van Tien Nguyen

arxiv:2409.05363 v1 · 2024-09-09 · math.AP · math-ph · math.FA · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GK7NVMVBV5OCXNTEKRELMZXLPP}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

Classification of the dynamics of radial solutions to the 2D parabolic-elliptic Keller-Segel System

Determination of the long-time dynamics for the 2D Keller-Segel equation at critical mass

Receipt and verification

First computed	2026-07-05T09:04:48.259430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32bedab2a1af5c2bb6645448b666eb7bf56a68393e8e4e4caf80c4457550db59

Aliases

arxiv: 2409.05363 · arxiv_version: 2409.05363v1 · doi: 10.48550/arxiv.2409.05363 · pith_short_12: GK7NVMVBV5OC · pith_short_16: GK7NVMVBV5OCXNTE · pith_short_8: GK7NVMVB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GK7NVMVBV5OCXNTEKRELMZXLPP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 32bedab2a1af5c2bb6645448b666eb7bf56a68393e8e4e4caf80c4457550db59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1d634cfb2d3152da16e1e31d6996d86f5cc45f2de1eff389ba5825e86a37dc1",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-09-09T06:51:26Z",
    "title_canon_sha256": "b6f2bce9d136cea70e46c40d666d1f262d816c4ee4e98be5ed3127465e6c4995"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.05363",
    "kind": "arxiv",
    "version": 1
  }
}