Pith Number

pith:NCWPC2TS

pith:2004:NCWPC2TSSRBTYOSVQNYC2ASLWM

not attested not anchored not stored refs pending

Locally unknotted spines of Heegaard splittings

Jesse Johnson

arxiv:math/0411065 v3 · 2004-11-03 · 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{NCWPC2TSSRBTYOSVQNYC2ASLWM}

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	2026-05-18T02:41:32.222751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68acf16a7294433c3a5583702d024bb319d8ee2c224d5e86fa34b0710599078c

Aliases

arxiv: math/0411065 · arxiv_version: math/0411065v3 · doi: 10.48550/arxiv.math/0411065 · pith_short_12: NCWPC2TSSRBT · pith_short_16: NCWPC2TSSRBTYOSV · pith_short_8: NCWPC2TS

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/NCWPC2TSSRBTYOSVQNYC2ASLWM \
  | 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: 68acf16a7294433c3a5583702d024bb319d8ee2c224d5e86fa34b0710599078c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d60f19508d1585f5512e59aca5e4c57121be4156e739dac855cd5454ac93da4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-11-03T19:04:52Z",
    "title_canon_sha256": "2695dbc28b49cb9d4ac06f874498ac6278163fb5ec6ab385ffac15e92e5480a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411065",
    "kind": "arxiv",
    "version": 3
  }
}