Pith Number

pith:WKHF2EDW

pith:2014:WKHF2EDWFFDTSGBHVMIUTYFGRB

not attested not anchored not stored refs pending

Heat content and small time asymptotics for Schr\"odinger operators on $R^d$

Luis Acu\~na Valverde, Rodrigo Ba\~nuelos

arxiv:1401.2971 v1 · 2014-01-13 · math.PR · math.CA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WKHF2EDWFFDTSGBHVMIUTYFGRB}

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	2026-05-18T03:02:31.374580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b28e5d10762947391827ab1149e0a6885614f3a0b5cdc91421144a31e5307244

Aliases

arxiv: 1401.2971 · arxiv_version: 1401.2971v1 · doi: 10.48550/arxiv.1401.2971 · pith_short_12: WKHF2EDWFFDT · pith_short_16: WKHF2EDWFFDTSGBH · pith_short_8: WKHF2EDW

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/WKHF2EDWFFDTSGBHVMIUTYFGRB \
  | 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: b28e5d10762947391827ab1149e0a6885614f3a0b5cdc91421144a31e5307244

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1917317a018220189639c05e85247720172c3838dbf7dcdd136e66c21db924e7",
    "cross_cats_sorted": [
      "math.CA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-01-13T20:18:52Z",
    "title_canon_sha256": "945639e5805c9145b532d61e60aa5d920b1bced5a4f690b05b09a496cfcd733d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2971",
    "kind": "arxiv",
    "version": 1
  }
}