Pith Number

pith:VENEX66S

pith:2012:VENEX66SNSYGQSBQDMGOPIRYKG

not attested not anchored not stored refs pending

Distribution of approximants and geodesic flows

Albert M. Fisher, Thomas A. Schmidt

arxiv:1208.0131 v1 · 2012-08-01 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VENEX66SNSYGQSBQDMGOPIRYKG}

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	2026-05-17T23:53:18.551684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a91a4bfbd26cb06848301b0ce7a238519d38a63f15d9160cf84619325f8c6a6c

Aliases

arxiv: 1208.0131 · arxiv_version: 1208.0131v1 · doi: 10.48550/arxiv.1208.0131 · pith_short_12: VENEX66SNSYG · pith_short_16: VENEX66SNSYGQSBQ · pith_short_8: VENEX66S

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/VENEX66SNSYGQSBQDMGOPIRYKG \
  | 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: a91a4bfbd26cb06848301b0ce7a238519d38a63f15d9160cf84619325f8c6a6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03a854e0259a22d1e84b9fe63d5295eee8ffcc8e88d83ab2380300efd4caa6dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-08-01T08:05:32Z",
    "title_canon_sha256": "e21451d909f0ce3657ce5ff19c2c12f297c7a88b15f867958b39d3913521fde6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0131",
    "kind": "arxiv",
    "version": 1
  }
}