Pith Number

pith:4ZQ3BM66

pith:2025:4ZQ3BM66NDYJ6VCSTTYVNL7VS6

not attested not anchored not stored refs pending

Stochastic heat flow is a black noise

Li-Cheng Tsai, Yu Gu

arxiv:2506.16484 v2 · 2025-06-19 · 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{4ZQ3BM66NDYJ6VCSTTYVNL7VS6}

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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	2026-07-05T11:37:23.693826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e661b0b3de68f09f54529cf156aff59794d43ca876b519774eedcc0659f379b2

Aliases

arxiv: 2506.16484 · arxiv_version: 2506.16484v2 · doi: 10.48550/arxiv.2506.16484 · pith_short_12: 4ZQ3BM66NDYJ · pith_short_16: 4ZQ3BM66NDYJ6VCS · pith_short_8: 4ZQ3BM66

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/4ZQ3BM66NDYJ6VCSTTYVNL7VS6 \
  | 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: e661b0b3de68f09f54529cf156aff59794d43ca876b519774eedcc0659f379b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fc112ebc9d74a2f3199de3f7c9c5aefc970fd6298a089f21043f7ce186efbf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-06-19T17:27:26Z",
    "title_canon_sha256": "add0331e92308528fa058810494000b2cdef93641d6a5cc5fe66fe99d0d6092d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.16484",
    "kind": "arxiv",
    "version": 2
  }
}