Pith Number

pith:USJ5KPX3

pith:2015:USJ5KPX3TWF765GN5VRUBPGVOM

not attested not anchored not stored refs pending

Volume hyperbolicity and wildness

Christian Bonatti, Katsutoshi Shinohara

arxiv:1505.07901 v1 · 2015-05-29 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{USJ5KPX3TWF765GN5VRUBPGVOM}

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	2026-05-18T01:03:45.244769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a493d53efb9d8bff74cded6340bcd5732810bdb8481842e4305463c6cb670198

Aliases

arxiv: 1505.07901 · arxiv_version: 1505.07901v1 · doi: 10.48550/arxiv.1505.07901 · pith_short_12: USJ5KPX3TWF7 · pith_short_16: USJ5KPX3TWF765GN · pith_short_8: USJ5KPX3

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/USJ5KPX3TWF765GN5VRUBPGVOM \
  | 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: a493d53efb9d8bff74cded6340bcd5732810bdb8481842e4305463c6cb670198

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53819940392974d2d71c0c41f4c4884ac765cc51b4c59914339de71ba3906157",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-05-29T01:22:14Z",
    "title_canon_sha256": "08813f9fb093a91b92e6350518838f3afcce9264e9c2796d5976e243bcddc31c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07901",
    "kind": "arxiv",
    "version": 1
  }
}