Pith Number

pith:CNVDARUV

pith:2011:CNVDARUVZF4UTQPMKGFWBHXV3E

not attested not anchored not stored refs pending

Smoothed Invariants

H. A. Dye

arxiv:1109.3165 v1 · 2011-09-14 · 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{CNVDARUVZF4UTQPMKGFWBHXV3E}

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	2026-05-18T04:13:06.135802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

136a304695c97949c1ec518b609ef5d92892a62c067738396a02dea3c5098c5c

Aliases

arxiv: 1109.3165 · arxiv_version: 1109.3165v1 · doi: 10.48550/arxiv.1109.3165 · pith_short_12: CNVDARUVZF4U · pith_short_16: CNVDARUVZF4UTQPM · pith_short_8: CNVDARUV

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/CNVDARUVZF4UTQPMKGFWBHXV3E \
  | 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: 136a304695c97949c1ec518b609ef5d92892a62c067738396a02dea3c5098c5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d8bc0c87ae6bacdc45442d94c36f6fe33c026e9e00f67a957c53f1961889d47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-09-14T18:57:08Z",
    "title_canon_sha256": "2627d43c4f6f9adbc151bc9842a8db2ed8967ebdb1e483ece1e598af8cd70420"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3165",
    "kind": "arxiv",
    "version": 1
  }
}