Pith Number

pith:UTOPZD6G

pith:2013:UTOPZD6GVYMYHMXVIA5VCUGLRJ

not attested not anchored not stored refs pending

A characterization of Blaschke addition

Franz E. Schuster, Lukas Parapatits, Richard J. Gardner

arxiv:1309.1431 v3 · 2013-09-05 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UTOPZD6GVYMYHMXVIA5VCUGLRJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:37:23.634957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4dcfc8fc6ae1983b2f5403b5150cb8a4a45706e3f5379d68e914a2fc25eff3e

Aliases

arxiv: 1309.1431 · arxiv_version: 1309.1431v3 · doi: 10.48550/arxiv.1309.1431 · pith_short_12: UTOPZD6GVYMY · pith_short_16: UTOPZD6GVYMYHMXV · pith_short_8: UTOPZD6G

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/UTOPZD6GVYMYHMXVIA5VCUGLRJ \
  | 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: a4dcfc8fc6ae1983b2f5403b5150cb8a4a45706e3f5379d68e914a2fc25eff3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a63c8f48dcf3ed05a168b4ba4d97694f47ebe01079e842fb7d04639ada735318",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-09-05T18:42:52Z",
    "title_canon_sha256": "5979394f946a4f53419a25991ff6c6dd7bdab89147c772376f86c19a4dcf5093"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1431",
    "kind": "arxiv",
    "version": 3
  }
}