Pith Number

pith:5HVOGTIH

pith:2013:5HVOGTIHXNNAGGLYS54PXOA6N3

not attested not anchored not stored refs pending

Topology of geometric joins

Andreas F. Holmsen, Imre Barany, Roman Karasev

arxiv:1309.0920 v4 · 2013-09-04 · 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{5HVOGTIHXNNAGGLYS54PXOA6N3}

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	2026-05-18T01:31:21.624346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9eae34d07bb5a0319789778fbb81e6eec0de31f27ff4a28acbb85e41252f1c7

Aliases

arxiv: 1309.0920 · arxiv_version: 1309.0920v4 · doi: 10.48550/arxiv.1309.0920 · pith_short_12: 5HVOGTIHXNNA · pith_short_16: 5HVOGTIHXNNAGGLY · pith_short_8: 5HVOGTIH

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/5HVOGTIHXNNAGGLYS54PXOA6N3 \
  | 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: e9eae34d07bb5a0319789778fbb81e6eec0de31f27ff4a28acbb85e41252f1c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a38ac902588ea70989b9d38dd46b630d476910503a65ad98e43bbfbc368c840a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-09-04T05:56:57Z",
    "title_canon_sha256": "fe3d437654af313ae69b9d24d3967b0cbc3a2cefe4f617ff5148732c058af497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0920",
    "kind": "arxiv",
    "version": 4
  }
}