Pith Number

pith:2APTE2AY

pith:2015:2APTE2AYASDTILU3K75FVIPE45

not attested not anchored not stored refs pending

A Multi-Time-Scale Analysis of Chemical Reaction Networks : II. Stochastic Systems

Chang Hyeong Lee, Hans G. Othmer, Xingye Kan

arxiv:1508.05990 v2 · 2015-08-24 · 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{2APTE2AYASDTILU3K75FVIPE45}

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	2026-05-18T01:24:38.223338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d01f3268180487342e9b57fa5aa1e4e740db43380d9576dd002fadb45809fb7d

Aliases

arxiv: 1508.05990 · arxiv_version: 1508.05990v2 · doi: 10.48550/arxiv.1508.05990 · pith_short_12: 2APTE2AYASDT · pith_short_16: 2APTE2AYASDTILU3 · pith_short_8: 2APTE2AY

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/2APTE2AYASDTILU3K75FVIPE45 \
  | 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: d01f3268180487342e9b57fa5aa1e4e740db43380d9576dd002fadb45809fb7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd73b6d003606ea23cb5d6eeaa22cfe71628c38d8fcfb693ac12e6b6783d09aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-08-24T22:49:51Z",
    "title_canon_sha256": "1d41e32984028f95ee849e36833589d963d79827f4b8e89420ae4b6ee1e8c3cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05990",
    "kind": "arxiv",
    "version": 2
  }
}