Pith Number

pith:FRFUXH2B

pith:2016:FRFUXH2BMI4S6A4C76KUAMNR2T

not attested not anchored not stored refs pending

Global existence and asymptotic behavior of classical solutions to a parabolic-elliptic chemotaxis system with logistic source on $\mathbb{R}^{N}$

Rachidi Salako, Wenxian Shen

arxiv:1608.02031 v3 · 2016-08-05 · math.AP · math.DS · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRFUXH2BMI4S6A4C76KUAMNR2T}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-05-18T00:41:53.537422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c4b4b9f4162392f0382ff954031b1d4e28c69e1cb61e8bf9cffd006597b3804

Aliases

arxiv: 1608.02031 · arxiv_version: 1608.02031v3 · doi: 10.48550/arxiv.1608.02031 · pith_short_12: FRFUXH2BMI4S · pith_short_16: FRFUXH2BMI4S6A4C · pith_short_8: FRFUXH2B

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/FRFUXH2BMI4S6A4C76KUAMNR2T \
  | 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: 2c4b4b9f4162392f0382ff954031b1d4e28c69e1cb61e8bf9cffd006597b3804

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "835d89cdd9ddeeb496a959a26237104d23a03403fd79e83fef6a2fded18bda1a",
    "cross_cats_sorted": [
      "math.DS",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-05T22:05:05Z",
    "title_canon_sha256": "1edbe56f536bcbfa7ff2d70c828eee503758a52bfb764a9bffe7e2efb55565b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02031",
    "kind": "arxiv",
    "version": 3
  }
}