Pith Number

pith:I2M4P6VX

pith:2026:I2M4P6VXAA5LFZOFNFZ733RE6P

not attested not anchored not stored refs pending

Optimal binding function for (cap,even hole)-free graphs with no short odd holes

Chenglong Deng, Xuding Zhu

arxiv:2607.27850 v1 · 2026-07-30 · 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{I2M4P6VXAA5LFZOFNFZ733RE6P}

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	2026-07-31T01:34:28.734894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

4699c7fab7003ab2e5c56973fdee24f3d9f2b627e4dd2049d7eaaaf49e08cc0a

Aliases

arxiv: 2607.27850 · arxiv_version: 2607.27850v1 · doi: 10.48550/arxiv.2607.27850 · pith_short_12: I2M4P6VXAA5L · pith_short_16: I2M4P6VXAA5LFZOF · pith_short_8: I2M4P6VX

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/I2M4P6VXAA5LFZOFNFZ733RE6P \
  | 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: 4699c7fab7003ab2e5c56973fdee24f3d9f2b627e4dd2049d7eaaaf49e08cc0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1541edf2ce9a26b09ee13d3b178687490b439302b22878319d401350a27d3486",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-30T08:29:46Z",
    "title_canon_sha256": "6cc5f62a14ff390f70a4490153c39cf89050b20fbfa202fd1a4b3331b7bc3ba9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27850",
    "kind": "arxiv",
    "version": 1
  }
}