Pith Number

pith:WAM3D6RJ

pith:2018:WAM3D6RJZE6SWGWHMUBZOQX5EB

not attested not anchored not stored refs pending

Long Time Asymptotics of Heat Kernels and Brownian Winding Numbers on Manifolds with Boundary

Gautam Iyer, Xi Geng

arxiv:1804.00368 v1 · 2018-04-02 · 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{WAM3D6RJZE6SWGWHMUBZOQX5EB}

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	2026-05-18T00:19:16.166301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b019b1fa29c93d2b1ac765039742fd206ff46d9eee0502cfc6f27fc4915954bd

Aliases

arxiv: 1804.00368 · arxiv_version: 1804.00368v1 · doi: 10.48550/arxiv.1804.00368 · pith_short_12: WAM3D6RJZE6S · pith_short_16: WAM3D6RJZE6SWGWH · pith_short_8: WAM3D6RJ

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/WAM3D6RJZE6SWGWHMUBZOQX5EB \
  | 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: b019b1fa29c93d2b1ac765039742fd206ff46d9eee0502cfc6f27fc4915954bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb4aba61f1b29af96a7b2da3e19b11554948b796fb1ec31b5e7297eb88e006d2",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-02T01:29:17Z",
    "title_canon_sha256": "5fc54b31a8cdddc52a553e429fccd8c10841fd2d1f9ebcccece0cb2bdc848393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.00368",
    "kind": "arxiv",
    "version": 1
  }
}