Pith Number

pith:4YTN3MUU

pith:2016:4YTN3MUUIENL2ERSGBKJZPWJSJ

not attested not anchored not stored refs pending

Directed polymer in random environment and two points state space

Philippe Carmona (LMJL)

arxiv:1607.04443 v1 · 2016-07-15 · 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{4YTN3MUUIENL2ERSGBKJZPWJSJ}

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	2026-05-18T01:11:01.210879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e626ddb294411abd123230549cbec99260d224a14376af17d9f6fe4f9fb1690d

Aliases

arxiv: 1607.04443 · arxiv_version: 1607.04443v1 · doi: 10.48550/arxiv.1607.04443 · pith_short_12: 4YTN3MUUIENL · pith_short_16: 4YTN3MUUIENL2ERS · pith_short_8: 4YTN3MUU

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/4YTN3MUUIENL2ERSGBKJZPWJSJ \
  | 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: e626ddb294411abd123230549cbec99260d224a14376af17d9f6fe4f9fb1690d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39ffeb601d16f21228e83bf51b89770123278eb3e35acd44e9f53d7a1d9f825a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-15T10:20:18Z",
    "title_canon_sha256": "dce6c415cb3c46c32f20b73917d1a40c5fa996a426ff739c50f37448a5685afc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04443",
    "kind": "arxiv",
    "version": 1
  }
}