Pith Number

pith:ZQPMN7KS

pith:2017:ZQPMN7KS5U5JEXDT5ORHL6AICT

not attested not anchored not stored refs pending

Proof of an entropy conjecture of Leighton and Moitra

H\"useyin Acan, Jeff Kahn, Pat Devlin

arxiv:1701.04321 v2 · 2017-01-16 · 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{ZQPMN7KS5U5JEXDT5ORHL6AICT}

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	2026-05-18T00:48:59.472757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc1ec6fd52ed3a925c73eba275f80814dd22ca5d314fbd5adf0e58b646367bc3

Aliases

arxiv: 1701.04321 · arxiv_version: 1701.04321v2 · doi: 10.48550/arxiv.1701.04321 · pith_short_12: ZQPMN7KS5U5J · pith_short_16: ZQPMN7KS5U5JEXDT · pith_short_8: ZQPMN7KS

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/ZQPMN7KS5U5JEXDT5ORHL6AICT \
  | 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: cc1ec6fd52ed3a925c73eba275f80814dd22ca5d314fbd5adf0e58b646367bc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d16d0784975d4898916447442c7ff97807ead378fc23452b352b7719c17b2c01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-16T15:16:15Z",
    "title_canon_sha256": "c6725b8a1a56e1d0e33ae88cfc92455afea245996ba7e9991999d20ceeec6636"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04321",
    "kind": "arxiv",
    "version": 2
  }
}