Pith Number

pith:TRFGTPIK

pith:2015:TRFGTPIKOGF6HAUIZE6EYKNP3G

not attested not anchored not stored refs pending

Coverings of open books

Keiko Kawamuro, Tetsuya Ito

arxiv:1509.00352 v1 · 2015-09-01 · 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{TRFGTPIKOGF6HAUIZE6EYKNP3G}

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	2026-05-18T01:34:14.343283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c4a69bd0a718be38288c93c4c29afd98ee6d3a67182d32f6d91970e0a5b9618

Aliases

arxiv: 1509.00352 · arxiv_version: 1509.00352v1 · doi: 10.48550/arxiv.1509.00352 · pith_short_12: TRFGTPIKOGF6 · pith_short_16: TRFGTPIKOGF6HAUI · pith_short_8: TRFGTPIK

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/TRFGTPIKOGF6HAUIZE6EYKNP3G \
  | 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: 9c4a69bd0a718be38288c93c4c29afd98ee6d3a67182d32f6d91970e0a5b9618

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f967db1421a77b8c6e041b33326873ace1da88d5b0a0defc76958f2fef9d0b52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-01T15:26:45Z",
    "title_canon_sha256": "ea8335cba2dd53e9e23822a2f3f05b097eac23cf0843c4bd997d52a3801a70ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00352",
    "kind": "arxiv",
    "version": 1
  }
}