Pith Number

pith:HHCPIHB5

pith:2019:HHCPIHB5F5HB7BXGTB5V72GAL4

not attested not anchored not stored refs pending

Some dynamical properties of delayed weakly reversible mass-action systems

Chuanhou Gao, Tian Zhang, Xiaoyu Zhang

arxiv:1911.03713 v4 · 2019-11-09 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HHCPIHB5F5HB7BXGTB5V72GAL4}

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	2026-07-05T07:55:17.225919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39c4f41c3d2f4e1f86e6987b5fe8c05f3c0ac5a86f993601b65c97ea5c1eaed8

Aliases

arxiv: 1911.03713 · arxiv_version: 1911.03713v4 · doi: 10.48550/arxiv.1911.03713 · pith_short_12: HHCPIHB5F5HB · pith_short_16: HHCPIHB5F5HB7BXG · pith_short_8: HHCPIHB5

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/HHCPIHB5F5HB7BXGTB5V72GAL4 \
  | 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: 39c4f41c3d2f4e1f86e6987b5fe8c05f3c0ac5a86f993601b65c97ea5c1eaed8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d82c0048aa6412aa0dc2fecabdf288475062b1d829b78cdf367f32d30bda278",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-11-09T15:15:17Z",
    "title_canon_sha256": "ce2f4c1ea3ee6adfdc606784ac614a59476ca608cf1f224d9d197aa576b03b97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.03713",
    "kind": "arxiv",
    "version": 4
  }
}