Pith Number

pith:M4LXH7C7

pith:2012:M4LXH7C74J34M7J4WPRKHK3OTC

not attested not anchored not stored refs pending

Asymptotics of the Upper Matching Conjecture

Jeff Kahn, Liviu Ilinca

arxiv:1205.4342 v1 · 2012-05-19 · 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{M4LXH7C74J34M7J4WPRKHK3OTC}

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	2026-05-18T03:55:13.405866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

671773fc5fe277c67d3cb3e2a3ab6e98b387193572832c035924c06e3d2ff093

Aliases

arxiv: 1205.4342 · arxiv_version: 1205.4342v1 · doi: 10.48550/arxiv.1205.4342 · pith_short_12: M4LXH7C74J34 · pith_short_16: M4LXH7C74J34M7J4 · pith_short_8: M4LXH7C7

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/M4LXH7C74J34M7J4WPRKHK3OTC \
  | 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: 671773fc5fe277c67d3cb3e2a3ab6e98b387193572832c035924c06e3d2ff093

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16d57f39050ace3e9fa14cd49b98dccf4f7a4295fcd3b70eaabd78012a9daa51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-19T16:03:05Z",
    "title_canon_sha256": "9e51ecda7863948be5fa128865ead68d7332c30e612b284ca8a6142495cd2fe2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4342",
    "kind": "arxiv",
    "version": 1
  }
}