Pith Number

pith:X5MRO34D

pith:2012:X5MRO34D36D5N4YWQWOL4Y2MEO

not attested not anchored not stored refs pending

A Sidon-type condition on set systems

Jane Wodlinger, Peter J. Dukes

arxiv:1210.0923 v2 · 2012-10-02 · 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{X5MRO34D36D5N4YWQWOL4Y2MEO}

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	2026-05-18T03:07:52.807849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf59176f83df87d6f316859cbe634c23b391cd35fe776d10da8f492c14cc2e32

Aliases

arxiv: 1210.0923 · arxiv_version: 1210.0923v2 · doi: 10.48550/arxiv.1210.0923 · pith_short_12: X5MRO34D36D5 · pith_short_16: X5MRO34D36D5N4YW · pith_short_8: X5MRO34D

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/X5MRO34D36D5N4YWQWOL4Y2MEO \
  | 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: bf59176f83df87d6f316859cbe634c23b391cd35fe776d10da8f492c14cc2e32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffc738dd3ea24bffbcefadf50ce8dd0178cc6f91a84e51e2f6b0b97ac7252d17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-02T20:58:55Z",
    "title_canon_sha256": "650d2105ac6ab710ff1db6aa81d4117b802bbfb36519401cb618a5838d43a853"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0923",
    "kind": "arxiv",
    "version": 2
  }
}