Pith Number

pith:SLUFO3AA

pith:2023:SLUFO3AARJXNGCAF2SXIRA5R2F

not attested not anchored not stored refs pending

Upper bounds for linear graph codes

Leo Versteegen

arxiv:2310.19891 v2 · 2023-10-30 · 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{SLUFO3AARJXNGCAF2SXIRA5R2F}

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	2026-07-05T08:10:57.976055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92e8576c008a6ed30805d4ae8883b1d14f23f7388cda3a2ad64637705cbc72ac

Aliases

arxiv: 2310.19891 · arxiv_version: 2310.19891v2 · doi: 10.48550/arxiv.2310.19891 · pith_short_12: SLUFO3AARJXN · pith_short_16: SLUFO3AARJXNGCAF · pith_short_8: SLUFO3AA

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/SLUFO3AARJXNGCAF2SXIRA5R2F \
  | 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: 92e8576c008a6ed30805d4ae8883b1d14f23f7388cda3a2ad64637705cbc72ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08408f0a333efa72cf964e4756ef35d114037a0d5f73e1d2575868402c348d8c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-10-30T18:01:48Z",
    "title_canon_sha256": "b355d5870676d1d474b1e3a1c6ac6a73dd8e913cccf9b16a558b54a36006a2ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.19891",
    "kind": "arxiv",
    "version": 2
  }
}