Pith Number

pith:RIQZ4VFE

pith:2024:RIQZ4VFEB6O6T6BKEKTVPVCT52

not attested not anchored not stored refs pending

The Critical 2d Stochastic Heat Flow and Related Models

Francesco Caravenna, Nikos Zygouras, Rongfeng Sun

arxiv:2412.10311 v3 · 2024-12-13 · 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{RIQZ4VFEB6O6T6BKEKTVPVCT52}

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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

2 papers in Pith

An upper bound of the lower tail of the mass of balls under the critical $2d$ stochastic heat flow

Strong Disorder for Stochastic Heat Flow and 2D Directed Polymers

Receipt and verification

First computed	2026-05-27T01:04:47.577799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a219e54a40f9de9f82a22a757d453ee978c622e574cc9ff2c15039a3858fd7f

Aliases

arxiv: 2412.10311 · arxiv_version: 2412.10311v3 · doi: 10.48550/arxiv.2412.10311 · pith_short_12: RIQZ4VFEB6O6 · pith_short_16: RIQZ4VFEB6O6T6BK · pith_short_8: RIQZ4VFE

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/RIQZ4VFEB6O6T6BKEKTVPVCT52 \
  | 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: 8a219e54a40f9de9f82a22a757d453ee978c622e574cc9ff2c15039a3858fd7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a337493aba2e9f0281e476321e01c77b9c220c2514006497c323e399df2cd43",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-13T17:51:25Z",
    "title_canon_sha256": "086a3428ecc0c33aac66895d8dbf0dbeea59a8c7d1acd33410fbe45414b24281"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.10311",
    "kind": "arxiv",
    "version": 3
  }
}