Pith Number

pith:YALAOHE2

pith:2026:YALAOHE2BIDIK2Q3WTAJLR6MKZ

not attested not anchored not stored refs pending

Finding blowups one vertex at a time

Jacob Fox, Yunkun Zhou, Yuval Wigderson

arxiv:2605.23301 v1 · 2026-05-22 · 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{YALAOHE2BIDIK2Q3WTAJLR6MKZ}

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	2026-05-25T02:01:47.966055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c016071c9a0a06856a1bb4c095c7cc5640b85a8580149098c6edd7d1bf4ecb7e

Aliases

arxiv: 2605.23301 · arxiv_version: 2605.23301v1 · doi: 10.48550/arxiv.2605.23301 · pith_short_12: YALAOHE2BIDI · pith_short_16: YALAOHE2BIDIK2Q3 · pith_short_8: YALAOHE2

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/YALAOHE2BIDIK2Q3WTAJLR6MKZ \
  | 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: c016071c9a0a06856a1bb4c095c7cc5640b85a8580149098c6edd7d1bf4ecb7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "893849bd9425d759cb22a466fbdbb5a2910321ff0a268be526acff6bcaaa9291",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-22T07:18:58Z",
    "title_canon_sha256": "f1587385678f27a7133de62ec6c5fa6ba0b3897e12628445baddad7daf2bc4f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23301",
    "kind": "arxiv",
    "version": 1
  }
}