Pith Number

pith:WINPZ6RL

pith:2010:WINPZ6RL2344IHNYKST3MULBUQ

not attested not anchored not stored refs pending

Simplicial volume and fillings of hyperbolic manifolds

Jason Fox Manning, Koji Fujiwara

arxiv:1012.1039 v2 · 2010-12-05 · 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{WINPZ6RL2344IHNYKST3MULBUQ}

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	2026-05-18T01:22:29.169535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b21afcfa2bd6f9c41db854a7b65161a407bbe7f969d1379e1f58166833b95889

Aliases

arxiv: 1012.1039 · arxiv_version: 1012.1039v2 · doi: 10.48550/arxiv.1012.1039 · pith_short_12: WINPZ6RL2344 · pith_short_16: WINPZ6RL2344IHNY · pith_short_8: WINPZ6RL

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/WINPZ6RL2344IHNYKST3MULBUQ \
  | 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: b21afcfa2bd6f9c41db854a7b65161a407bbe7f969d1379e1f58166833b95889

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef1040496b0484a4a1558d772e6fa1ca6163af034babfa317e18986c18cf58f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-12-05T21:35:54Z",
    "title_canon_sha256": "fae85d54891abb92ed609d9b22a8eb88a76c5be52685d69ddf57f315328be799"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1039",
    "kind": "arxiv",
    "version": 2
  }
}