Pith Number

pith:IDRS7ZHA

pith:2026:IDRS7ZHANX6NKF5I4JOJV4ICDQ

not attested not anchored not stored refs pending

Perfect matchings, Fano planes, and orthogonal bases of type $E_8$

R.M. Green, Tianyuan Xu

arxiv:2606.17393 v1 · 2026-06-16 · 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{IDRS7ZHANX6NKF5I4JOJV4ICDQ}

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	2026-06-19T16:10:11.060030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40e32fe4e06dfcd517a8e25c9af1021c33b299e0c5cdddb9de897cec77f03283

Aliases

arxiv: 2606.17393 · arxiv_version: 2606.17393v1 · doi: 10.48550/arxiv.2606.17393 · pith_short_12: IDRS7ZHANX6N · pith_short_16: IDRS7ZHANX6NKF5I · pith_short_8: IDRS7ZHA

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/IDRS7ZHANX6NKF5I4JOJV4ICDQ \
  | 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: 40e32fe4e06dfcd517a8e25c9af1021c33b299e0c5cdddb9de897cec77f03283

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21401a793450758900f722ba93b4fa939b70b4fe3e530c779757a5345dba73e7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-16T01:11:05Z",
    "title_canon_sha256": "aef0f284cd91edb4f8043072b6e924ba8e0b0aff79d44b975390fdc3bc3c56e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17393",
    "kind": "arxiv",
    "version": 1
  }
}