Pith Number

pith:UPR2BLRQ

pith:2011:UPR2BLRQEVY5RFWTZXZA5JSSXW

not attested not anchored not stored refs pending

Every graph is a cut locus

Costin V\^ilcu, Jin-ichi Itoh

arxiv:1103.1759 v4 · 2011-03-09 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UPR2BLRQEVY5RFWTZXZA5JSSXW}

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	2026-05-18T01:09:25.669195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3e3a0ae302571d896d3cdf20ea652bdb986565e78244df07887bb893356b4d6

Aliases

arxiv: 1103.1759 · arxiv_version: 1103.1759v4 · doi: 10.48550/arxiv.1103.1759 · pith_short_12: UPR2BLRQEVY5 · pith_short_16: UPR2BLRQEVY5RFWT · pith_short_8: UPR2BLRQ

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/UPR2BLRQEVY5RFWTZXZA5JSSXW \
  | 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: a3e3a0ae302571d896d3cdf20ea652bdb986565e78244df07887bb893356b4d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ac7973ab38a2e1bc8b53af73695a39c8389e241cf818a5f963fb9a5833d0312",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-09T11:36:01Z",
    "title_canon_sha256": "5cb4a8b9cf5dbefcbc251a56c5183c3f79ff5aac09d970e8561f62ab02422327"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1759",
    "kind": "arxiv",
    "version": 4
  }
}