Pith Number

pith:YXLN5G42

pith:2017:YXLN5G42RY34F6SCXLTLRGTY5Y

not attested not anchored not stored refs pending

Sub-logistic source can prevent blow-up in the 2D minimal Keller-Segel chemotaxis system

Tian Xiang

arxiv:1712.04739 v1 · 2017-12-13 · 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{YXLN5G42RY34F6SCXLTLRGTY5Y}

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	2026-05-18T00:07:00.871890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5d6de9b9a8e37c2fa42bae6b89a78ee2c35a38f54f3b13c7582bf387f99490c

Aliases

arxiv: 1712.04739 · arxiv_version: 1712.04739v1 · doi: 10.48550/arxiv.1712.04739 · pith_short_12: YXLN5G42RY34 · pith_short_16: YXLN5G42RY34F6SC · pith_short_8: YXLN5G42

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/YXLN5G42RY34F6SCXLTLRGTY5Y \
  | 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: c5d6de9b9a8e37c2fa42bae6b89a78ee2c35a38f54f3b13c7582bf387f99490c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95053e87822d944767939e58d9e35cceff808b0f58204cc3020be8222be36c4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-13T12:37:05Z",
    "title_canon_sha256": "566e8de288d156d72669bc25be1706031b301a8d04b1da47409ba8158dae6747"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04739",
    "kind": "arxiv",
    "version": 1
  }
}