Pith Number

pith:W3T54M7J

pith:2015:W3T54M7JGOJNUOUALNE63TMW7P

not attested not anchored not stored refs pending

Counting Dirac braid relators and hyperelliptic Lefschetz fibrations

Hisaaki Endo, Seiichi Kamada

arxiv:1508.07687 v2 · 2015-08-31 · 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{W3T54M7JGOJNUOUALNE63TMW7P}

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	2026-05-18T00:45:08.624130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6e7de33e93392da3a805b49edcd96fbc3894e2948c4f5c75e927fc7d5ec3fe7

Aliases

arxiv: 1508.07687 · arxiv_version: 1508.07687v2 · doi: 10.48550/arxiv.1508.07687 · pith_short_12: W3T54M7JGOJN · pith_short_16: W3T54M7JGOJNUOUA · pith_short_8: W3T54M7J

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/W3T54M7JGOJNUOUALNE63TMW7P \
  | 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: b6e7de33e93392da3a805b49edcd96fbc3894e2948c4f5c75e927fc7d5ec3fe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e872dcc3b53a0795c666305cbec862522001a39fe75ac950c8f0b6af08d0f8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-31T04:51:44Z",
    "title_canon_sha256": "aece76f14e6557f471ba1f1b4edd4a2d6fc484be9110e1dde664539b0fcccb26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07687",
    "kind": "arxiv",
    "version": 2
  }
}