Pith Number

pith:3X5H3HA2

pith:2013:3X5H3HA2BTSKO5TMVWZ5PA4BUU

not attested not anchored not stored refs pending

Commentary on Robert Riley's article "A personal account of the discovery of hyperbolic structures on some knot complements"

David Singerman, Gareth A. Jones, Matthew G. Brin

arxiv:1301.4599 v1 · 2013-01-19 · math.HO · 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{3X5H3HA2BTSKO5TMVWZ5PA4BUU}

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	2026-05-18T03:14:19.834498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddfa7d9c1a0ce4a7766cadb3d78381a52ef6483aca7c8f649fc85431ad593052

Aliases

arxiv: 1301.4599 · arxiv_version: 1301.4599v1 · doi: 10.48550/arxiv.1301.4599 · pith_short_12: 3X5H3HA2BTSK · pith_short_16: 3X5H3HA2BTSKO5TM · pith_short_8: 3X5H3HA2

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/3X5H3HA2BTSKO5TMVWZ5PA4BUU \
  | 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: ddfa7d9c1a0ce4a7766cadb3d78381a52ef6483aca7c8f649fc85431ad593052

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdce2b71ad988c55f3c66d49b8815c00a9468a3408972a202db45ca93a3be4fb",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2013-01-19T21:32:16Z",
    "title_canon_sha256": "883754c85acf659fcc9d4334b4185373b9f8f54cc3d2a9aff600f3a272857ca3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4599",
    "kind": "arxiv",
    "version": 1
  }
}