Pith Number

pith:YDALZYWG

pith:2026:YDALZYWGAW37L4Z22MOB6O6QTE

not attested not anchored not stored refs pending

Two problems of Burr, Erd\H os, Graham, and S\'os on maximal anti-Ramsey functions for $P_4$

Bo Ning, Mingze Li, Tianying Xie

arxiv:2606.30505 v1 · 2026-06-29 · 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{YDALZYWGAW37L4Z22MOB6O6QTE}

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	2026-06-30T02:18:18.061865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0c0bce2c605b7f5f33ad31c1f3bd09904b461d89e1afcceff60b086d3d4303a

Aliases

arxiv: 2606.30505 · arxiv_version: 2606.30505v1 · doi: 10.48550/arxiv.2606.30505 · pith_short_12: YDALZYWGAW37 · pith_short_16: YDALZYWGAW37L4Z2 · pith_short_8: YDALZYWG

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/YDALZYWGAW37L4Z22MOB6O6QTE \
  | 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: c0c0bce2c605b7f5f33ad31c1f3bd09904b461d89e1afcceff60b086d3d4303a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2468274f2aa19352e9681e9f30e0a142555f3073b9812268cb5ca97dfa4b5748",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-29T16:09:26Z",
    "title_canon_sha256": "6dce3db7b14c7d66195ef45c95e8e41c38ed0cd8aff426992fc2c16227e3aa3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30505",
    "kind": "arxiv",
    "version": 1
  }
}