Pith Number

pith:Z3VJ4PTV

pith:2012:Z3VJ4PTVF22HLLRAJDKPBXAI7I

not attested not anchored not stored refs pending

Cones of weighted quasi-metrics, weighted quasi-hypermetrics and of oriented cuts

Elena Deza, Michel Deza, Vyacheslav Grishukhin

arxiv:1201.1099 v1 · 2012-01-05 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3VJ4PTVF22HLLRAJDKPBXAI7I}

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	2026-05-18T04:05:06.173571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceea9e3e752eb475ae2048d4f0dc08fa3e11662baf2e86ab63325059248129a3

Aliases

arxiv: 1201.1099 · arxiv_version: 1201.1099v1 · doi: 10.48550/arxiv.1201.1099 · pith_short_12: Z3VJ4PTVF22H · pith_short_16: Z3VJ4PTVF22HLLRA · pith_short_8: Z3VJ4PTV

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/Z3VJ4PTVF22HLLRAJDKPBXAI7I \
  | 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: ceea9e3e752eb475ae2048d4f0dc08fa3e11662baf2e86ab63325059248129a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b1ef8f548b127a4492c7454e0b63191e049f7d316d8dcd8995ee63e5caa9cf9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-01-05T10:03:59Z",
    "title_canon_sha256": "b5306a381cdd86a9e1bfc339ccfb8831925b5aed05e67341cc0e9f5c4f8fbbe2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1099",
    "kind": "arxiv",
    "version": 1
  }
}