Pith Number

pith:ZJ73UZBL

pith:2023:ZJ73UZBL23AEITI3RQCIGNVS6F

not attested not anchored not stored refs pending

A structure theorem for pseudo-segments and its applications

Andrew Suk, Jacob Fox, Janos Pach

arxiv:2312.01028 v1 · 2023-12-02 · math.CO · cs.CG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJ73UZBL23AEITI3RQCIGNVS6F}

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.

Cited by

1 paper in Pith

A parity Erd\H{o}s-Hajnal theorem for $t$-intersecting curves

Receipt and verification

First computed	2026-07-05T07:19:28.165068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca7fba642bd6c0444d1b8c048336b2f15d5ab1d180be1a9ab9f0b1331c662fd6

Aliases

arxiv: 2312.01028 · arxiv_version: 2312.01028v1 · doi: 10.48550/arxiv.2312.01028 · pith_short_12: ZJ73UZBL23AE · pith_short_16: ZJ73UZBL23AEITI3 · pith_short_8: ZJ73UZBL

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/ZJ73UZBL23AEITI3RQCIGNVS6F \
  | 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: ca7fba642bd6c0444d1b8c048336b2f15d5ab1d180be1a9ab9f0b1331c662fd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f00821bff388e0693deaf7796d6e83df5be51cb0a04b4e42dc0c3148af37f23",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-12-02T04:37:15Z",
    "title_canon_sha256": "0bc03bf2e5e279ba5560a8748627ae84ea52130efff1689f44868ccb2b0d8191"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.01028",
    "kind": "arxiv",
    "version": 1
  }
}