Pith Number

pith:E6LLVN2O

pith:2021:E6LLVN2OWFGAQHEALPSKCMVYBN

not attested not anchored not stored refs pending

The limit of mesoscopic one-way fluxes in a nonequilibrium chemical reaction with complex mechanism

Lu-Yao Qiao, Wu-Jun Gao, Ying Sheng, Yong Chen

arxiv:2111.07497 v1 · 2021-11-15 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E6LLVN2OWFGAQHEALPSKCMVYBN}

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	2026-07-05T03:31:40.465813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2796bab74eb14c081c805be4a132b80b4801b6e859eae57cffc1589efda675d6

Aliases

arxiv: 2111.07497 · arxiv_version: 2111.07497v1 · doi: 10.48550/arxiv.2111.07497 · pith_short_12: E6LLVN2OWFGA · pith_short_16: E6LLVN2OWFGAQHEA · pith_short_8: E6LLVN2O

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/E6LLVN2OWFGAQHEALPSKCMVYBN \
  | 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: 2796bab74eb14c081c805be4a132b80b4801b6e859eae57cffc1589efda675d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bc9102cf711c3d2ee5fefa12774837b9fe900cd1be768e45a8777e3486792b3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-11-15T02:22:57Z",
    "title_canon_sha256": "bb273842e3be6eb156647b0447c11d19e2fc1e97c3748dd757f29a655aecd5cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.07497",
    "kind": "arxiv",
    "version": 1
  }
}