Pith Number

pith:IZPR2ZQL

pith:2005:IZPR2ZQLKWV3TEYKXJ7UGW4H35

not attested not anchored not stored refs pending

Large time behavior of heat kernels on forms

Qi S. Zhang, Thierry Coulhon

arxiv:math/0506252 v1 · 2005-06-13 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZPR2ZQLKWV3TEYKXJ7UGW4H35}

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	2026-07-04T14:40:03.483758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

465f1d660b55abb9930aba7f435b87df43b9aa95d7db0812193ba6238f3bcf4e

Aliases

arxiv: math/0506252 · arxiv_version: math/0506252v1 · doi: 10.48550/arxiv.math/0506252 · pith_short_12: IZPR2ZQLKWV3 · pith_short_16: IZPR2ZQLKWV3TEYK · pith_short_8: IZPR2ZQL

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/IZPR2ZQLKWV3TEYKXJ7UGW4H35 \
  | 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: 465f1d660b55abb9930aba7f435b87df43b9aa95d7db0812193ba6238f3bcf4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae9275a0fe1468453e13c4857d25a4579bb7bcc4d374038b93fde19abfc232b6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-06-13T18:36:47Z",
    "title_canon_sha256": "7804650c6a2dc3036202db6e0517800808abec6c2a42a4f8a2122a0f40c58de6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506252",
    "kind": "arxiv",
    "version": 1
  }
}