Pith Number

pith:4BA7DC6E

pith:2026:4BA7DC6ECO6MDH4F3LM5M5TW7L

not attested not anchored not stored refs pending

Embeddings of critical graphs near the Heawood bound

Timothy Sun

arxiv:2606.00375 v1 · 2026-05-29 · 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{4BA7DC6ECO6MDH4F3LM5M5TW7L}

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	2026-06-02T01:03:52.956512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e041f18bc413bcc19f85dad9d67676faf6536668da08a6c160cff5eff359869c

Aliases

arxiv: 2606.00375 · arxiv_version: 2606.00375v1 · doi: 10.48550/arxiv.2606.00375 · pith_short_12: 4BA7DC6ECO6M · pith_short_16: 4BA7DC6ECO6MDH4F · pith_short_8: 4BA7DC6E

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/4BA7DC6ECO6MDH4F3LM5M5TW7L \
  | 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: e041f18bc413bcc19f85dad9d67676faf6536668da08a6c160cff5eff359869c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f1300ef80f7c80ecabe7540695a1b63d2c69c5593b948285da40883feb7121d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-29T21:33:39Z",
    "title_canon_sha256": "cf100331e9b8588afd7be7e5d02104c43ab4a2165c9ed036b16bb77cc5e4804a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00375",
    "kind": "arxiv",
    "version": 1
  }
}