Pith Number

pith:WTGUECYQ

pith:2015:WTGUECYQUXUON7XAE65D5ZLEKS

not attested not anchored not stored refs pending

Model reduction of biochemical reactions networks by tropical analysis methods

Dima Grigoriev, Ovidiu Radulescu, Sergei Vakulenko

arxiv:1503.01414 v2 · 2015-03-04 · 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{WTGUECYQUXUON7XAE65D5ZLEKS}

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	2026-05-18T02:03:34.062684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4cd420b10a5e8e6fee027ba3ee56454953901fc7070f6a712dd727d61527261

Aliases

arxiv: 1503.01414 · arxiv_version: 1503.01414v2 · doi: 10.48550/arxiv.1503.01414 · pith_short_12: WTGUECYQUXUO · pith_short_16: WTGUECYQUXUON7XA · pith_short_8: WTGUECYQ

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/WTGUECYQUXUON7XAE65D5ZLEKS \
  | 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: b4cd420b10a5e8e6fee027ba3ee56454953901fc7070f6a712dd727d61527261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90b636b865eb1d55e92252d2c68e6762984f92e1accd84487727eff8019bcc65",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.MN",
    "submitted_at": "2015-03-04T18:52:30Z",
    "title_canon_sha256": "84225d2a74af74263712806f8b74c24e56bafbab24f0653f83ffc82c6bb22fe7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01414",
    "kind": "arxiv",
    "version": 2
  }
}