Pith Number

pith:3AHHYOHF

pith:2016:3AHHYOHFBZUG24AA4A2TNCX5XR

not attested not anchored not stored refs pending

How strong a logistic damping can prevent blow-up for the minimal Keller-Segel chemotaxis system?

Tian Xiang

arxiv:1612.03024 v2 · 2016-12-09 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3AHHYOHFBZUG24AA4A2TNCX5XR}

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	2026-05-18T00:10:41.610134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d80e7c38e50e686d7000e035368afdbc6d9fc2d2c7f45e178dff5c5d4262c33e

Aliases

arxiv: 1612.03024 · arxiv_version: 1612.03024v2 · doi: 10.48550/arxiv.1612.03024 · pith_short_12: 3AHHYOHFBZUG · pith_short_16: 3AHHYOHFBZUG24AA · pith_short_8: 3AHHYOHF

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/3AHHYOHFBZUG24AA4A2TNCX5XR \
  | 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: d80e7c38e50e686d7000e035368afdbc6d9fc2d2c7f45e178dff5c5d4262c33e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6bc152dda2052f9ee4f36116d343a10681c5a9ac6f2b4aac3d66553c6415d35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-09T13:56:58Z",
    "title_canon_sha256": "bc9902f3b512de5ddbdbe498caa90d42fc6e2b972f84aa23812761f637d171a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03024",
    "kind": "arxiv",
    "version": 2
  }
}