Pith Number

pith:F4VBW7VM

pith:2020:F4VBW7VMT5CJTILGECIU3FDLEQ

not attested not anchored not stored refs pending

Combinatorial Mutations and Block Diagonal Polytopes

Akihiro Higashitani, Fatemeh Mohammadi, Oliver Clarke

arxiv:2010.04079 v1 · 2020-10-08 · math.CO · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4VBW7VMT5CJTILGECIU3FDLEQ}

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	2026-07-05T01:41:26.749560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f2a1b7eac9f4499a16620914d946b242b5b61d8fb558412ee72cd8cfa1823b5

Aliases

arxiv: 2010.04079 · arxiv_version: 2010.04079v1 · doi: 10.48550/arxiv.2010.04079 · pith_short_12: F4VBW7VMT5CJ · pith_short_16: F4VBW7VMT5CJTILG · pith_short_8: F4VBW7VM

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/F4VBW7VMT5CJTILGECIU3FDLEQ \
  | 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: 2f2a1b7eac9f4499a16620914d946b242b5b61d8fb558412ee72cd8cfa1823b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0742672d7cec8dc2c6308778ac467563d4063bdea592066f2901c042a667057",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-10-08T16:02:41Z",
    "title_canon_sha256": "7afdb5d09cb960f53f7065a60b510b94a6879b2690193ec1d56049795b0da1a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.04079",
    "kind": "arxiv",
    "version": 1
  }
}