Pith Number

pith:5J5NAXJK

pith:2013:5J5NAXJKLDIFDQDSFXVCFRGH5S

not attested not anchored not stored refs pending

Tropicalization and tropical equilibration of chemical reactions

Dima Grigoriev, Ovidiu Radulescu, Sergei Vakulenko, Vincent Noel

arxiv:1303.3963 v2 · 2013-03-16 · q-bio.MN · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5J5NAXJKLDIFDQDSFXVCFRGH5S}

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	2026-05-18T03:24:52.338987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea7ad05d2a58d051c0722dea22c4c7ecb6e2811264a458b763049f499167ab64

Aliases

arxiv: 1303.3963 · arxiv_version: 1303.3963v2 · doi: 10.48550/arxiv.1303.3963 · pith_short_12: 5J5NAXJKLDIF · pith_short_16: 5J5NAXJKLDIFDQDS · pith_short_8: 5J5NAXJK

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/5J5NAXJKLDIFDQDSFXVCFRGH5S \
  | 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: ea7ad05d2a58d051c0722dea22c4c7ecb6e2811264a458b763049f499167ab64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09445afd8ff030c3dd6f3f7c3b2af0a99d82b87d4f2ff494aca0c1cbaad6ec11",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "q-bio.MN",
    "submitted_at": "2013-03-16T10:17:45Z",
    "title_canon_sha256": "76dd8610123c53bfb19974a36f25a48074b34acb1b72da95c160500c9b2fda77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3963",
    "kind": "arxiv",
    "version": 2
  }
}