Pith Number

pith:7LSPWACH

pith:2017:7LSPWACHABXFA67KSVLQX6REMY

not attested not anchored not stored refs pending

Central limit theorem for Gibbs measures on path spaces including long range and singular interactions and homogenization of the stochastic heat equation

Chiranjib Mukherjee

arxiv:1706.09345 v5 · 2017-06-28 · 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{7LSPWACHABXFA67KSVLQX6REMY}

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.

Cited by

1 paper in Pith

Effective mass of the polaron -- revisited

Receipt and verification

First computed	2026-07-05T03:00:25.780615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fae4fb0047006e507bea95570bfa246603524ca9a8b832d7f3ce3ea4c4557c96

Aliases

arxiv: 1706.09345 · arxiv_version: 1706.09345v5 · doi: 10.48550/arxiv.1706.09345 · pith_short_12: 7LSPWACHABXF · pith_short_16: 7LSPWACHABXFA67K · pith_short_8: 7LSPWACH

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/7LSPWACHABXFA67KSVLQX6REMY \
  | 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: fae4fb0047006e507bea95570bfa246603524ca9a8b832d7f3ce3ea4c4557c96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f5d89aadad79e06f6356ac2eea9aeb114ea82e3829f608fda741adf812958ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-28T16:10:55Z",
    "title_canon_sha256": "8ce250468e0e13934323983606e860aee5ccf3aa71bd44a5df37870aaad6a866"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09345",
    "kind": "arxiv",
    "version": 5
  }
}