Pith Number

pith:57L5G6QW

pith:2019:57L5G6QWXN6GVNNLBH2KJWCZYZ

not attested not anchored not stored refs pending

A Tight Bound for Hyperaph Regularity

Asaf Shapira, Guy Moshkovitz

arxiv:1907.07639 v1 · 2019-07-17 · 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{57L5G6QWXN6GVNNLBH2KJWCZYZ}

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	2026-05-17T23:40:21.476804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efd7d37a16bb7c6ab5ab09f4a4d859c6528976f1d58a2482594e1cc0f3a9e2a5

Aliases

arxiv: 1907.07639 · arxiv_version: 1907.07639v1 · doi: 10.48550/arxiv.1907.07639 · pith_short_12: 57L5G6QWXN6G · pith_short_16: 57L5G6QWXN6GVNNL · pith_short_8: 57L5G6QW

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/57L5G6QWXN6GVNNLBH2KJWCZYZ \
  | 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: efd7d37a16bb7c6ab5ab09f4a4d859c6528976f1d58a2482594e1cc0f3a9e2a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95180568ee6bc79cefc9bb617d38ff2d8b28c759a14f7434e2bc993476a92b8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-17T16:53:55Z",
    "title_canon_sha256": "a990e5d71e5eeaf421809db66bff4dbe3a6c42924a9288ac2e535c90a0e98963"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07639",
    "kind": "arxiv",
    "version": 1
  }
}