Pith Number

pith:GVI5P5DQ

pith:2010:GVI5P5DQ5NN2EZMKBANIL6CZ3S

not attested not anchored not stored refs pending

Discrete Laplace-Beltrami Operator Determines Discrete Riemannian Metric

Feng Luo, Ren Guo, Wei Zeng, Xianfeng David Gu

arxiv:1010.4070 v1 · 2010-10-19 · cs.DM · 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{GVI5P5DQ5NN2EZMKBANIL6CZ3S}

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	2026-05-18T04:38:59.863348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3551d7f470eb5ba2658a081a85f859dc9e243e94c3f030fa27f8ae7cef0d5aae

Aliases

arxiv: 1010.4070 · arxiv_version: 1010.4070v1 · doi: 10.48550/arxiv.1010.4070 · pith_short_12: GVI5P5DQ5NN2 · pith_short_16: GVI5P5DQ5NN2EZMK · pith_short_8: GVI5P5DQ

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/GVI5P5DQ5NN2EZMKBANIL6CZ3S \
  | 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: 3551d7f470eb5ba2658a081a85f859dc9e243e94c3f030fa27f8ae7cef0d5aae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06010d6188efa32155a13fb34d4001bcea93bec2a3840ad0d4e438341642ad43",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2010-10-19T23:06:54Z",
    "title_canon_sha256": "2d287c13fc5ac9013884264855a698d908eb9d95a08279d4c112ac32736476f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4070",
    "kind": "arxiv",
    "version": 1
  }
}