Pith Number

pith:DA43CQSP

pith:2015:DA43CQSPXM4GFI2HLPZML4VP6F

not attested not anchored not stored refs pending

Heat semigroup and singular PDEs

F. Bernicot, I. Bailleul

arxiv:1501.06822 v3 · 2015-01-27 · math.AP · 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{DA43CQSPXM4GFI2HLPZML4VP6F}

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	2026-05-18T01:21:08.657657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1839b1424fbb3862a3475bf2c5f2aff174977617ddbdb835e40f28979f739aeb

Aliases

arxiv: 1501.06822 · arxiv_version: 1501.06822v3 · doi: 10.48550/arxiv.1501.06822 · pith_short_12: DA43CQSPXM4G · pith_short_16: DA43CQSPXM4GFI2H · pith_short_8: DA43CQSP

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/DA43CQSPXM4GFI2HLPZML4VP6F \
  | 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: 1839b1424fbb3862a3475bf2c5f2aff174977617ddbdb835e40f28979f739aeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f1231cc2585a997b6e00a7b68b2cbdf440eccd938d9b853c7bc21b6eaf767b3",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-27T17:12:27Z",
    "title_canon_sha256": "f919840ddd0c87188f5705b2d9227018c66cc62febb68c88caa54f8a29ebb274"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06822",
    "kind": "arxiv",
    "version": 3
  }
}