Pith Number

pith:TNMOONGN

pith:2012:TNMOONGNO2N555Q3KZJMVMYMKO

not attested not anchored not stored refs pending

On knot complements that decompose into regular ideal dodecahedra

Neil Hoffman

arxiv:1209.1004 v2 · 2012-09-05 · 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{TNMOONGNO2N555Q3KZJMVMYMKO}

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	2026-05-18T03:45:12.065454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b58e734cd769bdef61b5652cab30c5383a4a3aaf145e579b7920eb1420a553b

Aliases

arxiv: 1209.1004 · arxiv_version: 1209.1004v2 · doi: 10.48550/arxiv.1209.1004 · pith_short_12: TNMOONGNO2N5 · pith_short_16: TNMOONGNO2N555Q3 · pith_short_8: TNMOONGN

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/TNMOONGNO2N555Q3KZJMVMYMKO \
  | 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: 9b58e734cd769bdef61b5652cab30c5383a4a3aaf145e579b7920eb1420a553b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d135d6411a20ced8704018b04e110ea84f95812c2ed314960b38345f83a4da0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-09-05T14:59:31Z",
    "title_canon_sha256": "bd2e6cdc2da2175f6481c3f67e8a078c6f06bf99361e5d86b1305ffeb51adc67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1004",
    "kind": "arxiv",
    "version": 2
  }
}