Pith Number

pith:7SUT6R2T

pith:2013:7SUT6R2T7DTOY22BPHSWMD7MFN

not attested not anchored not stored refs pending

Isometric embeddings via heat kernel

Ke Zhu, Xiaowei Wang

arxiv:1305.5613 v4 · 2013-05-24 · math.DG · 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{7SUT6R2T7DTOY22BPHSWMD7MFN}

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	2026-05-18T03:05:28.118687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fca93f4753f8e6ec6b4179e5660fec2b763b371bc00fd3713a4e72afce1d8cbf

Aliases

arxiv: 1305.5613 · arxiv_version: 1305.5613v4 · doi: 10.48550/arxiv.1305.5613 · pith_short_12: 7SUT6R2T7DTO · pith_short_16: 7SUT6R2T7DTOY22B · pith_short_8: 7SUT6R2T

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/7SUT6R2T7DTOY22BPHSWMD7MFN \
  | 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: fca93f4753f8e6ec6b4179e5660fec2b763b371bc00fd3713a4e72afce1d8cbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2122c06062cee7819bf97ab8f8bdfca373514b93549c3541427de46f08520bd1",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-24T04:41:40Z",
    "title_canon_sha256": "c2e0c8fa9e309baf14aef99a4381741ff827df5177c140e5c3567a076d27765f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5613",
    "kind": "arxiv",
    "version": 4
  }
}