Pith Number

pith:7BZT22ZY

pith:2013:7BZT22ZYUGR5X5NJ6VWWR56MJE

not attested not anchored not stored refs pending

Band surgeries and crossing changes between fibered links

Dorothy Buck, Kai Ishihara, Koya Shimokawa, Matt Rathbun

arxiv:1304.6781 v3 · 2013-04-25 · 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{7BZT22ZYUGR5X5NJ6VWWR56MJE}

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	2026-05-18T00:44:29.842951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8733d6b38a1a3dbf5a9f56d68f7cc492e8d26fe162c7860fe7456036e0313b4

Aliases

arxiv: 1304.6781 · arxiv_version: 1304.6781v3 · doi: 10.48550/arxiv.1304.6781 · pith_short_12: 7BZT22ZYUGR5 · pith_short_16: 7BZT22ZYUGR5X5NJ · pith_short_8: 7BZT22ZY

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/7BZT22ZYUGR5X5NJ6VWWR56MJE \
  | 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: f8733d6b38a1a3dbf5a9f56d68f7cc492e8d26fe162c7860fe7456036e0313b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9882fb52f9de7e553d400195e303114d13c28edba6982a66d9ac49766df48bad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-04-25T01:03:26Z",
    "title_canon_sha256": "398f25d31138ceeab6d7e8363a9fc9ba71ce0e2a1f16ecb803fa55a1846d3d10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6781",
    "kind": "arxiv",
    "version": 3
  }
}