Pith Number

pith:UDJ6HDVT

pith:2011:UDJ6HDVTR3SWWY5TCZWMJQOWHV

not attested not anchored not stored refs pending

On the conjecture of Athanasiadis related to freeness of a family of hyparplane arrangements

Takuro Abe

arxiv:1110.0303 v2 · 2011-10-03 · 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{UDJ6HDVTR3SWWY5TCZWMJQOWHV}

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	2026-05-18T04:10:56.285670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0d3e38eb38ee56b63b3166cc4c1d63d735c1995112d2af1bfae6de199f9146c

Aliases

arxiv: 1110.0303 · arxiv_version: 1110.0303v2 · doi: 10.48550/arxiv.1110.0303 · pith_short_12: UDJ6HDVTR3SW · pith_short_16: UDJ6HDVTR3SWWY5T · pith_short_8: UDJ6HDVT

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/UDJ6HDVTR3SWWY5TCZWMJQOWHV \
  | 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: a0d3e38eb38ee56b63b3166cc4c1d63d735c1995112d2af1bfae6de199f9146c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbc6f8c89f596ec6ab3e3d43c998c232ee3fed3a0f251c0c4d059ef2b6df7c03",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-03T08:59:19Z",
    "title_canon_sha256": "3240c0c40b04ce2f82b98faec16a52429010d3a932f2e87670c252176b3a7008"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0303",
    "kind": "arxiv",
    "version": 2
  }
}