Pith Number

pith:LSEOBOOI

pith:2015:LSEOBOOIQ72MUJFVVFEMO24EYM

not attested not anchored not stored refs pending

Certifying the Thurston norm via SL(2, C)-twisted homology

Ian Agol, Nathan M. Dunfield

arxiv:1501.02136 v3 · 2015-01-09 · 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{LSEOBOOIQ72MUJFVVFEMO24EYM}

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	2026-05-18T02:25:33.747995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c88e0b9c887f4ca24b5a948c76b84c3321be08c81e9aa66a756642d22146187

Aliases

arxiv: 1501.02136 · arxiv_version: 1501.02136v3 · doi: 10.48550/arxiv.1501.02136 · pith_short_12: LSEOBOOIQ72M · pith_short_16: LSEOBOOIQ72MUJFV · pith_short_8: LSEOBOOI

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/LSEOBOOIQ72MUJFVVFEMO24EYM \
  | 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: 5c88e0b9c887f4ca24b5a948c76b84c3321be08c81e9aa66a756642d22146187

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5495e146e15fb8feb12b9ff6f6fa9073c7cc47dd6fce8fd8eb3ca0eddb957821",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-01-09T13:38:23Z",
    "title_canon_sha256": "b9edc34a0183d7e6a218f893a641b6c342ba13d2dbebed479bdd3ba7aa1d4636"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02136",
    "kind": "arxiv",
    "version": 3
  }
}