Pith Number

pith:J74NL4Z5

pith:2013:J74NL4Z5ZT2YHNHSLYDECDZVGX

not attested not anchored not stored refs pending

A graph discretization of the Laplace-Beltrami operator

Dmitri Burago, Sergei Ivanov, Yaroslav Kurylev

arxiv:1301.2222 v4 · 2013-01-10 · math.AP · 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{J74NL4Z5ZT2YHNHSLYDECDZVGX}

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	2026-05-18T02:38:17.417716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ff8d5f33dccf583b4f25e06410f3535fe0f2a55162c60ab60e57fea295d39f5

Aliases

arxiv: 1301.2222 · arxiv_version: 1301.2222v4 · doi: 10.48550/arxiv.1301.2222 · pith_short_12: J74NL4Z5ZT2Y · pith_short_16: J74NL4Z5ZT2YHNHS · pith_short_8: J74NL4Z5

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/J74NL4Z5ZT2YHNHSLYDECDZVGX \
  | 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: 4ff8d5f33dccf583b4f25e06410f3535fe0f2a55162c60ab60e57fea295d39f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb295f07aca679225d7db6e4bf7813713cb4c6fe6f675d7d2bd9f0df9ef68026",
    "cross_cats_sorted": [
      "math.DG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-10T19:23:18Z",
    "title_canon_sha256": "3f3b38d6873d903e682283c2ecdd67a15ae9ed5dccd59290ddcd0d4291912a20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2222",
    "kind": "arxiv",
    "version": 4
  }
}