Pith Number

pith:A3EU5XIC

pith:2015:A3EU5XICNKLFVHGB45P35EM7W7

not attested not anchored not stored refs pending

Short proofs of some extremal results II

Benny Sudakov, David Conlon, Jacob Fox

arxiv:1507.00547 v2 · 2015-07-02 · 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{A3EU5XICNKLFVHGB45P35EM7W7}

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	2026-05-18T01:20:59.061341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06c94edd026a965a9cc1e75fbe919fb7f2eb8dea3ae1457924ff76732c517ecd

Aliases

arxiv: 1507.00547 · arxiv_version: 1507.00547v2 · doi: 10.48550/arxiv.1507.00547 · pith_short_12: A3EU5XICNKLF · pith_short_16: A3EU5XICNKLFVHGB · pith_short_8: A3EU5XIC

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/A3EU5XICNKLFVHGB45P35EM7W7 \
  | 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: 06c94edd026a965a9cc1e75fbe919fb7f2eb8dea3ae1457924ff76732c517ecd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de51f8bbb083ef5606282f26d17517a898673c8443c570263c4a30e514857b64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-02T12:37:19Z",
    "title_canon_sha256": "8fc11b64a4c477ea8a5a4699706be9d0b10c1c798175da35a4d791ac7f1ddb18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00547",
    "kind": "arxiv",
    "version": 2
  }
}