Pith Number

pith:UKIYONR6

pith:2021:UKIYONR6J7DMFWM36JEPY65E7G

not attested not anchored not stored refs pending

Global solvability in a two-species chemotaxis system with signal production

Guoqiang Ren, Tian Xiang

arxiv:2109.15194 v2 · 2021-09-30 · 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{UKIYONR6J7DMFWM36JEPY65E7G}

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	2026-07-05T05:33:43.785864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a29187363e4fc6c2d99bf248fc7ba4f99a0104cbc26cdebbefec0d1e698e5350

Aliases

arxiv: 2109.15194 · arxiv_version: 2109.15194v2 · doi: 10.48550/arxiv.2109.15194 · pith_short_12: UKIYONR6J7DM · pith_short_16: UKIYONR6J7DMFWM3 · pith_short_8: UKIYONR6

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/UKIYONR6J7DMFWM36JEPY65E7G \
  | 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: a29187363e4fc6c2d99bf248fc7ba4f99a0104cbc26cdebbefec0d1e698e5350

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ab73cdb67f3580e13caba687522253b94366300e7761bde3223e1e3efad0042",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-09-30T15:11:16Z",
    "title_canon_sha256": "47fa7085c489011e7f8546664948cb9aa0b8715917121b5a7be79680b7af207e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.15194",
    "kind": "arxiv",
    "version": 2
  }
}