Pith Number

pith:GGHMJUNN

pith:2020:GGHMJUNNHQITCUYUIDKWIFNHV4

not attested not anchored not stored refs pending

Links in Surfaces and Laplacian Modules

Daniel S. Silver, Susan G. Williams

arxiv:2002.10040 v1 · 2020-02-24 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGHMJUNNHQITCUYUIDKWIFNHV4}

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.

Cited by

1 paper in Pith

Constrained Hybrid Metaheuristic Algorithm for Probabilistic Neural Networks Learning

Receipt and verification

First computed	2026-07-05T00:43:13.812120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

318ec4d1ad3c1131531440d56415a7af03c14566d4de8547b70d5b30d0c1c875

Aliases

arxiv: 2002.10040 · arxiv_version: 2002.10040v1 · doi: 10.48550/arxiv.2002.10040 · pith_short_12: GGHMJUNNHQIT · pith_short_16: GGHMJUNNHQITCUYU · pith_short_8: GGHMJUNN

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/GGHMJUNNHQITCUYUIDKWIFNHV4 \
  | 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: 318ec4d1ad3c1131531440d56415a7af03c14566d4de8547b70d5b30d0c1c875

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be5b335b132dc63b196b689d182c358951478b0fe05dcdc1a2fcac5618c05334",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2020-02-24T02:22:27Z",
    "title_canon_sha256": "08ebae01a568417b9834cbf0d1b46090e14b89e753ef7d61d1ad42ef74706c72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.10040",
    "kind": "arxiv",
    "version": 1
  }
}