Pith Number

pith:UBVMIDEU

pith:2018:UBVMIDEUK5M247DQBTLZYVESAK

not attested not anchored not stored refs pending

Spectral gaps for the O-U/Stochastic heat processes on path space over a Riemannian manifold with boundary

Bo Wu

arxiv:1812.01826 v1 · 2018-12-05 · math.PR

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

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	2026-05-17T23:59:00.520165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a06ac40c945759ae7c700cd79c549202b1c95df3cbc0b6bbf437bf86b4e73d3f

Aliases

arxiv: 1812.01826 · arxiv_version: 1812.01826v1 · doi: 10.48550/arxiv.1812.01826 · pith_short_12: UBVMIDEUK5M2 · pith_short_16: UBVMIDEUK5M247DQ · pith_short_8: UBVMIDEU

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/UBVMIDEUK5M247DQBTLZYVESAK \
  | 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: a06ac40c945759ae7c700cd79c549202b1c95df3cbc0b6bbf437bf86b4e73d3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd8679494947060ee9d618deead068a32a8e9b789ee8ef6e9229b774e14ef106",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-05T05:47:43Z",
    "title_canon_sha256": "53eddb252c584b7d86a8e24475fd7cf4c313cf8b710b442db2b5dde215aa4526"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01826",
    "kind": "arxiv",
    "version": 1
  }
}