Pith Number

pith:ASHNM2NA

pith:2015:ASHNM2NAJ5XOAH5TTFGIEPU3OY

not attested not anchored not stored refs pending

Realization of Waddington's Metaphor: Potential Landscape, Quasi-potential, A-type Integral and Beyond

Peijie Zhou, Tiejun Li

arxiv:1511.02088 v1 · 2015-11-06 · q-bio.MN · cond-mat.stat-mech · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ASHNM2NAJ5XOAH5TTFGIEPU3OY}

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	2026-05-18T01:19:28.943517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

048ed669a04f6ee01fb3994c823e9b7620421cb708f8868200da99aa27d51a25

Aliases

arxiv: 1511.02088 · arxiv_version: 1511.02088v1 · doi: 10.48550/arxiv.1511.02088 · pith_short_12: ASHNM2NAJ5XO · pith_short_16: ASHNM2NAJ5XOAH5T · pith_short_8: ASHNM2NA

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/ASHNM2NAJ5XOAH5TTFGIEPU3OY \
  | 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: 048ed669a04f6ee01fb3994c823e9b7620421cb708f8868200da99aa27d51a25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5b1d5952e2bdb61834a7b8abb7fa9cfb9d236ecf02355a1f8a7c1086895ac8f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.MN",
    "submitted_at": "2015-11-06T14:19:47Z",
    "title_canon_sha256": "f8b67a57d192d99e535495d5523d0daa12219afc12b9ad0bddae464dd911b119"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02088",
    "kind": "arxiv",
    "version": 1
  }
}