Pith Number

pith:MT4X2JHJ

pith:2012:MT4X2JHJ5MUWGNIAEW4P2MLF5U

not attested not anchored not stored refs pending

On the (strict) positivity of solutions of the stochastic heat equation

Gregorio R. Moreno Flores

arxiv:1206.1821 v3 · 2012-06-08 · 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{MT4X2JHJ5MUWGNIAEW4P2MLF5U}

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	2026-05-18T02:50:50.674928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64f97d24e9eb2963350025b8fd3165ed08a18667a297964244b8bd4cacbb5903

Aliases

arxiv: 1206.1821 · arxiv_version: 1206.1821v3 · doi: 10.48550/arxiv.1206.1821 · pith_short_12: MT4X2JHJ5MUW · pith_short_16: MT4X2JHJ5MUWGNIA · pith_short_8: MT4X2JHJ

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/MT4X2JHJ5MUWGNIAEW4P2MLF5U \
  | 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: 64f97d24e9eb2963350025b8fd3165ed08a18667a297964244b8bd4cacbb5903

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8356e1d6b9f3030271bba3d0a6afab57106bdc547831e1864d24e67dd5f58e09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-08T17:03:23Z",
    "title_canon_sha256": "e1569252c72713067c8ab2f0001b056c05f038ad4168e69d08b17671c1b54306"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1821",
    "kind": "arxiv",
    "version": 3
  }
}