Pith Number

pith:54Y4F3XI

pith:2018:54Y4F3XI3OZSQONIZID5KR3GM3

not attested not anchored not stored refs pending

Addition-deletion theorem for free hyperplane arrangements and combinatorics

Takuro Abe

arxiv:1811.03780 v1 · 2018-11-09 · math.AG · 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{54Y4F3XI3OZSQONIZID5KR3GM3}

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	2026-05-18T00:01:12.041876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef31c2eee8dbb32839a8ca07d5476666cab6b21d651b761bfc155904509244d7

Aliases

arxiv: 1811.03780 · arxiv_version: 1811.03780v1 · doi: 10.48550/arxiv.1811.03780 · pith_short_12: 54Y4F3XI3OZS · pith_short_16: 54Y4F3XI3OZSQONI · pith_short_8: 54Y4F3XI

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/54Y4F3XI3OZSQONIZID5KR3GM3 \
  | 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: ef31c2eee8dbb32839a8ca07d5476666cab6b21d651b761bfc155904509244d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57de700339565232a784e8ad181605f870e9f0334fe27eea828eb53e5f00f891",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-11-09T05:34:43Z",
    "title_canon_sha256": "66e5bcffa9622200678e35914d42218a1663bbc2e28de5982b7e0bd97dd618ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03780",
    "kind": "arxiv",
    "version": 1
  }
}