Pith Number

pith:ACHORIHB

pith:2023:ACHORIHBOITRRVUOUTXMAFYXSA

not attested not anchored not stored refs pending

Comparing invariants of toric ideals of bipartite graphs

Adam Van Tuyl, Kieran Bhaskara

arxiv:2303.14818 v2 · 2023-03-26 · math.AC · 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{ACHORIHBOITRRVUOUTXMAFYXSA}

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	2026-07-05T07:13:22.036654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

008ee8a0e1722718d68ea4eec01717903d6c2c0b28564f0a3d94f40dce30673f

Aliases

arxiv: 2303.14818 · arxiv_version: 2303.14818v2 · doi: 10.48550/arxiv.2303.14818 · pith_short_12: ACHORIHBOITR · pith_short_16: ACHORIHBOITRRVUO · pith_short_8: ACHORIHB

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/ACHORIHBOITRRVUOUTXMAFYXSA \
  | 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: 008ee8a0e1722718d68ea4eec01717903d6c2c0b28564f0a3d94f40dce30673f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f352d46090bf8d250c86ca649fd5cce4feaad173d6537b3614b1c28384ae4ec9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2023-03-26T20:53:30Z",
    "title_canon_sha256": "1493522c7b9199546027f8e9c40a9a41b6ce6db364c80c1ae92fbe6ef415c2b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.14818",
    "kind": "arxiv",
    "version": 2
  }
}