Pith Number

pith:NVGNR47J

pith:2010:NVGNR47JR5FWZKLSO7UX4FGAT5

not attested not anchored not stored refs pending

Maps on graphs can be deformed to be coincidence-free

P. Christopher Staecker

arxiv:1006.5220 v2 · 2010-06-27 · math.GN · 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{NVGNR47JR5FWZKLSO7UX4FGAT5}

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	2026-05-18T04:41:13.937106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d4cd8f3e98f4b6ca97277e97e14c09f4ea2ad970b2461cb7292b62f03edc819

Aliases

arxiv: 1006.5220 · arxiv_version: 1006.5220v2 · doi: 10.48550/arxiv.1006.5220 · pith_short_12: NVGNR47JR5FW · pith_short_16: NVGNR47JR5FWZKLS · pith_short_8: NVGNR47J

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/NVGNR47JR5FWZKLSO7UX4FGAT5 \
  | 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: 6d4cd8f3e98f4b6ca97277e97e14c09f4ea2ad970b2461cb7292b62f03edc819

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1afd1897b796bbbca943276685debf6df5188fdfba2bc057c8389d403c3bb17d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2010-06-27T16:21:29Z",
    "title_canon_sha256": "fbb39ad85e8a41d2a4b867f21e160ba95cbb7343327b8ec03a48f6607496d88e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5220",
    "kind": "arxiv",
    "version": 2
  }
}