Pith Number

pith:TRO7QFGP

pith:2015:TRO7QFGPYCBB6UBX2J54IEACSD

not attested not anchored not stored refs pending

Integral Foliated Simplicial Volume of Aspherical Manifolds

Clara Loeh, Cristina Pagliantini, Roberto Frigerio, Roman Sauer

arxiv:1506.05567 v2 · 2015-06-18 · 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{TRO7QFGPYCBB6UBX2J54IEACSD}

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	2026-05-18T01:37:18.545990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c5df814cfc0821f5037d27bc4100290ebbeccd79c90d723d8776d56310a3a45

Aliases

arxiv: 1506.05567 · arxiv_version: 1506.05567v2 · doi: 10.48550/arxiv.1506.05567 · pith_short_12: TRO7QFGPYCBB · pith_short_16: TRO7QFGPYCBB6UBX · pith_short_8: TRO7QFGP

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/TRO7QFGPYCBB6UBX2J54IEACSD \
  | 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: 9c5df814cfc0821f5037d27bc4100290ebbeccd79c90d723d8776d56310a3a45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "917ae02008439d2dec969999cdfe66cb7587a4e9a70d77e2ddea94fa91dafc04",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-06-18T07:38:27Z",
    "title_canon_sha256": "142ca1f1fb01a30b2c135ae9b71520b9d733623520fc8142f13c1d6f529f7dcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05567",
    "kind": "arxiv",
    "version": 2
  }
}