Pith Number

pith:2TFZMIS5

pith:2026:2TFZMIS5V37HZNHNUUK66IARCH

not attested not anchored not stored refs pending

Fractional moments of the Stochastic Heat Flow and 2D Directed Polymers

Nicola Turchi, Nikos Zygouras, Quentin Berger

arxiv:2608.13359 v1 · 2026-08-13 · 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{2TFZMIS5V37HZNHNUUK66IARCH}

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	2026-08-14T01:04:17.498183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4cb96225daefe7cb4eda515ef201111c023ddf259809327a8fe6a0980f5ffab

Aliases

arxiv: 2608.13359 · arxiv_version: 2608.13359v1 · doi: 10.48550/arxiv.2608.13359 · pith_short_12: 2TFZMIS5V37H · pith_short_16: 2TFZMIS5V37HZNHN · pith_short_8: 2TFZMIS5

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/2TFZMIS5V37HZNHNUUK66IARCH \
  | 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: d4cb96225daefe7cb4eda515ef201111c023ddf259809327a8fe6a0980f5ffab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e124ab4a9b48acef8dfb7bb13a88880861fb122cd37b8045d9c47740bff9974",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-08-13T15:22:59Z",
    "title_canon_sha256": "d3e715ab7578d74bc2ed10eeb55505207ce4f970365677803dba3321b03642df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13359",
    "kind": "arxiv",
    "version": 1
  }
}