Pith Number

pith:2QXXB3JM

pith:2016:2QXXB3JMO6TPSJFLJ64AOEQW5T

not attested not anchored not stored refs pending

Forbidden Subgraph Bounds for Parallel Repetition and the Density Hales-Jewett Theorem

Anup Rao, Jan H\k{a}z{\l}a, Thomas Holenstein

arxiv:1604.05757 v1 · 2016-04-19 · cs.DM · 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{2QXXB3JMO6TPSJFLJ64AOEQW5T}

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	2026-05-18T01:16:37.262740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d42f70ed2c77a6f924ab4fb8071216ecf5309685f1e65b4a4b557e8686ec80f4

Aliases

arxiv: 1604.05757 · arxiv_version: 1604.05757v1 · doi: 10.48550/arxiv.1604.05757 · pith_short_12: 2QXXB3JMO6TP · pith_short_16: 2QXXB3JMO6TPSJFL · pith_short_8: 2QXXB3JM

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/2QXXB3JMO6TPSJFLJ64AOEQW5T \
  | 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: d42f70ed2c77a6f924ab4fb8071216ecf5309685f1e65b4a4b557e8686ec80f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c903a08cf4bd7b449975ab36ef906fe6912b2547cfc5109d169d00e554eca13",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-04-19T21:39:57Z",
    "title_canon_sha256": "5d6a921b6a6eb53177aeab9012a34031c31bd98fc347aef6808284587459f2c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05757",
    "kind": "arxiv",
    "version": 1
  }
}