Pith Number

pith:XVQBZLG4

pith:2012:XVQBZLG4G26RH64EETLMW2DLQJ

not attested not anchored not stored refs pending

Simplicial volume of compact manifolds with amenable boundary

Sungwoon Kim, Thilo Kuessner

arxiv:1205.1375 v3 · 2012-05-07 · math.GT · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XVQBZLG4G26RH64EETLMW2DLQJ}

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	2026-05-18T03:19:56.977546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd601cacdc36bd13fb8424d6cb686b8241bb47ccf7f0ae1fb66502f3516536df

Aliases

arxiv: 1205.1375 · arxiv_version: 1205.1375v3 · doi: 10.48550/arxiv.1205.1375 · pith_short_12: XVQBZLG4G26R · pith_short_16: XVQBZLG4G26RH64E · pith_short_8: XVQBZLG4

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/XVQBZLG4G26RH64EETLMW2DLQJ \
  | 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: bd601cacdc36bd13fb8424d6cb686b8241bb47ccf7f0ae1fb66502f3516536df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db9fd9dcbf1a916dbfe0dce33b0a920981cb25f480f3a8c2294c47ea50aa4f7d",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-07T13:20:07Z",
    "title_canon_sha256": "9e665859ca85929692a07e154946067cf957f0341950a2d6adc9812d248a64c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1375",
    "kind": "arxiv",
    "version": 3
  }
}