Pith Number

pith:6LIXGK2B

pith:2016:6LIXGK2BGL5A7ICQA4Q22QV3TQ

not attested not anchored not stored refs pending

On keen Heegaard splittings

Ayako Ido, Tsuyoshi Kobayashi, Yeonhee Jang

arxiv:1605.04513 v1 · 2016-05-15 · 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{6LIXGK2BGL5A7ICQA4Q22QV3TQ}

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	2026-05-18T01:14:46.976355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2d1732b4132fa0fa0500721ad42bb9c36994410d6afb9a0264280e0431f4e36

Aliases

arxiv: 1605.04513 · arxiv_version: 1605.04513v1 · doi: 10.48550/arxiv.1605.04513 · pith_short_12: 6LIXGK2BGL5A · pith_short_16: 6LIXGK2BGL5A7ICQ · pith_short_8: 6LIXGK2B

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/6LIXGK2BGL5A7ICQA4Q22QV3TQ \
  | 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: f2d1732b4132fa0fa0500721ad42bb9c36994410d6afb9a0264280e0431f4e36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e09904f2b0a264eb2c68de4a618ff1f0d93fd0272d8c43dc8fb9a2c8b5ffdef4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-05-15T09:21:10Z",
    "title_canon_sha256": "72efa7629a83a03a96eba073eae9e36ded2ba308e5a61a59b557327221d88c26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04513",
    "kind": "arxiv",
    "version": 1
  }
}