Pith Number

pith:BH53SKYV

pith:2011:BH53SKYVIDGIOQYJJRXNDSG75J

not attested not anchored not stored refs pending

The asymptotic expansion of the heat kernel on a compact Lie group

Seunghun Hong

arxiv:1111.2643 v1 · 2011-11-11 · math.FA · math.DG · math.MG · 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{BH53SKYVIDGIOQYJJRXNDSG75J}

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	2026-05-18T04:08:33.071253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09fbb92b1540cc8743094c6ed1c8dfea6fb9d1a7e788313e55c828326b074a17

Aliases

arxiv: 1111.2643 · arxiv_version: 1111.2643v1 · doi: 10.48550/arxiv.1111.2643 · pith_short_12: BH53SKYVIDGI · pith_short_16: BH53SKYVIDGIOQYJ · pith_short_8: BH53SKYV

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/BH53SKYVIDGIOQYJJRXNDSG75J \
  | 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: 09fbb92b1540cc8743094c6ed1c8dfea6fb9d1a7e788313e55c828326b074a17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a8fd7b93de624be2489ac725e1910b6402eedcd82713e6a4ddd233315c1e905",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-11-11T01:40:42Z",
    "title_canon_sha256": "e026974dd37a890aaa28096441c74a55332388d4d3a152706d0b8688d22cc14f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2643",
    "kind": "arxiv",
    "version": 1
  }
}