Pith Number

pith:INM66WE7

pith:2013:INM66WE7EML5N2HUMFZMA7QAR7

not attested not anchored not stored refs pending

Moments of a length function on the boundary of a hyperbolic manifold

Nicholas G. Vlamis

arxiv:1303.6494 v4 · 2013-03-26 · 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{INM66WE7EML5N2HUMFZMA7QAR7}

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	2026-05-18T01:31:46.864033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4359ef589f2317d6e8f46172c07e008ff5377baeb4c0b11dc3593faf1676c66a

Aliases

arxiv: 1303.6494 · arxiv_version: 1303.6494v4 · doi: 10.48550/arxiv.1303.6494 · pith_short_12: INM66WE7EML5 · pith_short_16: INM66WE7EML5N2HU · pith_short_8: INM66WE7

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/INM66WE7EML5N2HUMFZMA7QAR7 \
  | 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: 4359ef589f2317d6e8f46172c07e008ff5377baeb4c0b11dc3593faf1676c66a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f611f22d90bbf54735838befc183f7f407bfc8071f4de36d6351cfc58563c41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-26T14:04:05Z",
    "title_canon_sha256": "9f51df5e3dd4e3b8a2eb5d4a3288479bd934be3f64cf1dd80ba4dbd310daa744"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6494",
    "kind": "arxiv",
    "version": 4
  }
}