Pith Number

pith:ZGFCWMKX

pith:2013:ZGFCWMKXLGEUKH3KBWQZE5RYSF

not attested not anchored not stored refs pending

Variational formulas and cocycle solutions for directed polymer and percolation models

Firas Rassoul-Agha, Nicos Georgiou, Timo Sepp\"al\"ainen

arxiv:1311.3016 v4 · 2013-11-13 · 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{ZGFCWMKXLGEUKH3KBWQZE5RYSF}

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	2026-05-18T01:22:15.093039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c98a2b31575989451f6a0da1927638917dc1a66bc15301c6e23681a88c9dace4

Aliases

arxiv: 1311.3016 · arxiv_version: 1311.3016v4 · doi: 10.48550/arxiv.1311.3016 · pith_short_12: ZGFCWMKXLGEU · pith_short_16: ZGFCWMKXLGEUKH3K · pith_short_8: ZGFCWMKX

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/ZGFCWMKXLGEUKH3KBWQZE5RYSF \
  | 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: c98a2b31575989451f6a0da1927638917dc1a66bc15301c6e23681a88c9dace4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3db55e4efc25dad1dc0e3d342383e6103927cbfa6bc4c87fd3ecd515bff00bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-13T04:50:22Z",
    "title_canon_sha256": "c601fe9e9a8833a2a5aa0c374623a82887e0be9036b6fe870a491a474150b83b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3016",
    "kind": "arxiv",
    "version": 4
  }
}