Pith Number

pith:JHPFUIHI

pith:2026:JHPFUIHITGT2R5QB6EGO2ERGEN

not attested not anchored not stored refs pending

Stability and instability for the fully parabolic Keller-Segel system around constant equilibrium

Jae-Myoung Kim, Jaewook Ahn, Junha Kim

arxiv:2607.10384 v1 · 2026-07-11 · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JHPFUIHITGT2R5QB6EGO2ERGEN}

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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

1 paper in Pith

The traveling wave solutions of the 1D hyperbolic Keller-Segel equations

Receipt and verification

First computed	2026-07-14T01:21:13.369051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49de5a20e899a7a8f601f10ced1226236266616f73740154aac107c3045ca2e8

Aliases

arxiv: 2607.10384 · arxiv_version: 2607.10384v1 · doi: 10.48550/arxiv.2607.10384 · pith_short_12: JHPFUIHITGT2 · pith_short_16: JHPFUIHITGT2R5QB · pith_short_8: JHPFUIHI

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/JHPFUIHITGT2R5QB6EGO2ERGEN \
  | 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: 49de5a20e899a7a8f601f10ced1226236266616f73740154aac107c3045ca2e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b097d6b10c05779fd1bf9c77534518e225e7347abfd9d949348c8a8b2d432364",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-11T16:24:45Z",
    "title_canon_sha256": "be4f440b18b413e38dc2ac06d05e10263449226b1627823ceb72beca65b0e70f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10384",
    "kind": "arxiv",
    "version": 1
  }
}