Pith Number

pith:LZGHXFKO

pith:2016:LZGHXFKOFF62WIBYVAISDK4C26

not attested not anchored not stored refs pending

Weak and Strong disorder for the stochastic heat equation and the continuous directed polymer in $d\geq 3$

Alexander Shamov, Chiranjib Mukherjee, Ofer Zeitouni

arxiv:1601.01652 v1 · 2016-01-07 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LZGHXFKOFF62WIBYVAISDK4C26}

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	2026-05-18T01:23:12.879931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e4c7b954e297dab2038a81121ab82d7a9cae29e1b2a161e74fd6134a7006e9a

Aliases

arxiv: 1601.01652 · arxiv_version: 1601.01652v1 · doi: 10.48550/arxiv.1601.01652 · pith_short_12: LZGHXFKOFF62 · pith_short_16: LZGHXFKOFF62WIBY · pith_short_8: LZGHXFKO

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/LZGHXFKOFF62WIBYVAISDK4C26 \
  | 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: 5e4c7b954e297dab2038a81121ab82d7a9cae29e1b2a161e74fd6134a7006e9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37ef4a03e7b6f056f0dd59708ca9dfb73f3ceac54ab31db0f9047bc091e391f3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-07T20:00:49Z",
    "title_canon_sha256": "5e1997d16a7ea2bec3faee7e7b3ea3b0270d39cff1a1970289deccb2bb76848c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01652",
    "kind": "arxiv",
    "version": 1
  }
}