Pith Number

pith:QJPKOQHQ

pith:2017:QJPKOQHQF4DWGM4WDIBDGCDJ2C

not attested not anchored not stored refs pending

Linear dependence between hereditary quasirandomness conditions

Xiaoyu He

arxiv:1707.05396 v2 · 2017-07-17 · 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{QJPKOQHQF4DWGM4WDIBDGCDJ2C}

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	2026-05-17T23:59:53.731839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

825ea740f02f076333961a02330869d0901a6d0718627c12469db2874a20786c

Aliases

arxiv: 1707.05396 · arxiv_version: 1707.05396v2 · doi: 10.48550/arxiv.1707.05396 · pith_short_12: QJPKOQHQF4DW · pith_short_16: QJPKOQHQF4DWGM4W · pith_short_8: QJPKOQHQ

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/QJPKOQHQF4DWGM4WDIBDGCDJ2C \
  | 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: 825ea740f02f076333961a02330869d0901a6d0718627c12469db2874a20786c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "313a4e18b3034ca8511415f838abfed992b6e09770b08c07c1bd5ff4870ddd53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-17T21:08:58Z",
    "title_canon_sha256": "a76c7b5a6289d18d319930c37a7e2e41e5a771b35abf02b561e085797884ea25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05396",
    "kind": "arxiv",
    "version": 2
  }
}