Pith Number

pith:QBSVX5P3

pith:2012:QBSVX5P3EQF2KFYRCNNNLBDF5S

not attested not anchored not stored refs pending

A variational formula for the free energy of the partially directed polymer collapse

Gia Bao Nguyen, Nicolas Petrelis

arxiv:1211.0925 v1 · 2012-11-05 · 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{QBSVX5P3EQF2KFYRCNNNLBDF5S}

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	2026-05-18T01:53:25.741764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80655bf5fb240ba51711135ad58465ec835d05a0bb7ae6261cb553f211b7d90f

Aliases

arxiv: 1211.0925 · arxiv_version: 1211.0925v1 · doi: 10.48550/arxiv.1211.0925 · pith_short_12: QBSVX5P3EQF2 · pith_short_16: QBSVX5P3EQF2KFYR · pith_short_8: QBSVX5P3

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/QBSVX5P3EQF2KFYRCNNNLBDF5S \
  | 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: 80655bf5fb240ba51711135ad58465ec835d05a0bb7ae6261cb553f211b7d90f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98a00cd1c8da111f97df0c15c636a618712e5573029903039ef60b15705ecc95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-05T17:00:34Z",
    "title_canon_sha256": "3cbb2ef2f3e4eadf92b4e48e8e0eb462822d1dd50175d9471ad5d22fc12cea55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0925",
    "kind": "arxiv",
    "version": 1
  }
}