Pith Number

pith:C3CGHPPQ

pith:2012:C3CGHPPQPTAAQ2HZCG5U3NXVLG

not attested not anchored not stored refs pending

Absence of Detailed Balance in Ecology

Amos Maritan, Jacopo Grilli, Jayanth R. Banavar, Sandro Azaele

arxiv:1210.5819 v1 · 2012-10-22 · cond-mat.stat-mech · physics.bio-ph · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3CGHPPQPTAAQ2HZCG5U3NXVLG}

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	2026-05-18T03:40:35.734790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16c463bdf07cc00868f911bb4db6f559a70f9c9aa5fb54edafc798a8d68955f1

Aliases

arxiv: 1210.5819 · arxiv_version: 1210.5819v1 · doi: 10.48550/arxiv.1210.5819 · pith_short_12: C3CGHPPQPTAA · pith_short_16: C3CGHPPQPTAAQ2HZ · pith_short_8: C3CGHPPQ

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/C3CGHPPQPTAAQ2HZCG5U3NXVLG \
  | 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: 16c463bdf07cc00868f911bb4db6f559a70f9c9aa5fb54edafc798a8d68955f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ed76ccb5fed8c4b720ca5ca79ed63bafda839d621ee3eea50cfaa0a9fc065d2",
    "cross_cats_sorted": [
      "physics.bio-ph",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-10-22T07:41:31Z",
    "title_canon_sha256": "f0e4e5303688c10ee7bd3b35c48afcedb5ff2f3d8592b46a59e4637fac42204c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5819",
    "kind": "arxiv",
    "version": 1
  }
}