Pith Number

pith:XGY3LAZM

pith:2021:XGY3LAZMD32WML522RINRUVNYT

not attested not anchored not stored refs pending

Global solvability and asymptotical behavior in a two-species chemotaxis model with signal absorption

Guoqiang Ren, Tian Xiang

arxiv:2102.03713 v2 · 2021-02-07 · 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{XGY3LAZMD32WML522RINRUVNYT}

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	2026-07-05T05:31:10.196128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9b1b5832c1ef5662fbad450d8d2adc4c49a4729896b115e59f338194b5a2898

Aliases

arxiv: 2102.03713 · arxiv_version: 2102.03713v2 · doi: 10.48550/arxiv.2102.03713 · pith_short_12: XGY3LAZMD32W · pith_short_16: XGY3LAZMD32WML52 · pith_short_8: XGY3LAZM

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/XGY3LAZMD32WML522RINRUVNYT \
  | 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: b9b1b5832c1ef5662fbad450d8d2adc4c49a4729896b115e59f338194b5a2898

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efe706e4be98f22faec0243073a38cf722374025168cd275248d15b58bb7405b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-02-07T04:16:15Z",
    "title_canon_sha256": "3c92b8c8edc33ac3b9e4e09cb11e828e54fa73a354a9011e156b47bebe7ddc73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.03713",
    "kind": "arxiv",
    "version": 2
  }
}