Pith Number

pith:UC6OAH3S

pith:2012:UC6OAH3SXTEGG5H3OS2G4DSKR2

not attested not anchored not stored refs pending

The hyperbolicity of the sphere complex via surgery paths

Arnaud Hilion, Camille Horbez

arxiv:1210.6183 v3 · 2012-10-23 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UC6OAH3SXTEGG5H3OS2G4DSKR2}

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	2026-05-18T03:26:32.303681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0bce01f72bcc86374fb74b46e0e4a8eaeee9ac779a14d172b534acecbc1d9ce

Aliases

arxiv: 1210.6183 · arxiv_version: 1210.6183v3 · doi: 10.48550/arxiv.1210.6183 · pith_short_12: UC6OAH3SXTEG · pith_short_16: UC6OAH3SXTEGG5H3 · pith_short_8: UC6OAH3S

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/UC6OAH3SXTEGG5H3OS2G4DSKR2 \
  | 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: a0bce01f72bcc86374fb74b46e0e4a8eaeee9ac779a14d172b534acecbc1d9ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5d134596c9244e333b6511047bb01ff0b7fd88bc54870be542c5a01ac40350a",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-23T10:27:42Z",
    "title_canon_sha256": "4f45d97351a318d331d7e83411cfeaaa007561daa6c0d9eec0e2c8784f1525dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6183",
    "kind": "arxiv",
    "version": 3
  }
}