Pith Number

pith:IAOOQW5L

pith:2012:IAOOQW5LJJXIZADGDHA2GR55QT

not attested not anchored not stored refs pending

A De Bruijn-Erdos theorem for 1-2 metric spaces

Vasek Chvatal

arxiv:1205.1170 v1 · 2012-05-06 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IAOOQW5LJJXIZADGDHA2GR55QT}

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	2026-05-18T02:40:54.411694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

401ce85bab4a6e8c806619c1a347bd84c244622644eeb62e00630d493f6c85bb

Aliases

arxiv: 1205.1170 · arxiv_version: 1205.1170v1 · doi: 10.48550/arxiv.1205.1170 · pith_short_12: IAOOQW5LJJXI · pith_short_16: IAOOQW5LJJXIZADG · pith_short_8: IAOOQW5L

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/IAOOQW5LJJXIZADGDHA2GR55QT \
  | 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: 401ce85bab4a6e8c806619c1a347bd84c244622644eeb62e00630d493f6c85bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "198cef968d9578aa06afd343434a60d76aa42800ee1e4b489d8f0feb3210cae1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-06T01:32:07Z",
    "title_canon_sha256": "665f45dad78e8672d0b52fd36e6d3d83ef141469c1b1e43c63a3cbefebed519c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1170",
    "kind": "arxiv",
    "version": 1
  }
}