Pith Number

pith:NAPJEK32

pith:2012:NAPJEK32QKRHDGAJD5ESZT7VUH

not attested not anchored not stored refs pending

On unstabilzed genus three critical Heegaard surfaces

Jungsoo Kim

arxiv:1203.5487 v1 · 2012-03-25 · 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{NAPJEK32QKRHDGAJD5ESZT7VUH}

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	2026-05-18T02:30:23.065159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

681e922b7a82a27198091f492ccff5a1c4ad381d1cb45d347e9ced9d44d8e051

Aliases

arxiv: 1203.5487 · arxiv_version: 1203.5487v1 · doi: 10.48550/arxiv.1203.5487 · pith_short_12: NAPJEK32QKRH · pith_short_16: NAPJEK32QKRHDGAJ · pith_short_8: NAPJEK32

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/NAPJEK32QKRHDGAJD5ESZT7VUH \
  | 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: 681e922b7a82a27198091f492ccff5a1c4ad381d1cb45d347e9ced9d44d8e051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17a3bba29f24c0ef670127aa473683a0b646b604d33521a5c5caa3e963fcb19c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-03-25T11:35:58Z",
    "title_canon_sha256": "25815560e27fca792e63dd9b7acfde4b7f046133345b2408b7dc985ee706c6a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5487",
    "kind": "arxiv",
    "version": 1
  }
}