Pith Number

pith:4NQL6P4P

pith:2013:4NQL6P4PIB2F5I5WW3D2ZOBI7C

not attested not anchored not stored refs pending

Interacting partially directed self avoiding walk. From phase transition to the geometry of the collapsed phase

G.B. Nguyen, N. P\'etr\'elis, P. Carmona

arxiv:1306.4887 v3 · 2013-06-20 · 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{4NQL6P4PIB2F5I5WW3D2ZOBI7C}

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	2026-05-18T01:36:15.826369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e360bf3f8f40745ea3b6b6c7acb828f888724379d452edac94d601240e04bf83

Aliases

arxiv: 1306.4887 · arxiv_version: 1306.4887v3 · doi: 10.48550/arxiv.1306.4887 · pith_short_12: 4NQL6P4PIB2F · pith_short_16: 4NQL6P4PIB2F5I5W · pith_short_8: 4NQL6P4P

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/4NQL6P4PIB2F5I5WW3D2ZOBI7C \
  | 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: e360bf3f8f40745ea3b6b6c7acb828f888724379d452edac94d601240e04bf83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22d09b1f9086580b8773ff973c80f2b3c20f5daa9d44e74ff1f48546aa753e54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-20T14:27:08Z",
    "title_canon_sha256": "0272a1b1676b1cc5838cb20d5670156105a3d3adecae73fdfc37655064582cfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4887",
    "kind": "arxiv",
    "version": 3
  }
}