Pith Number

pith:UX5BRBWQ

pith:2012:UX5BRBWQ43TNHQ2XQF6YKGF6GW

not attested not anchored not stored refs pending

The ring of evenly weighted points on the line

Benjamin Howard, Milena Hering

arxiv:1211.3941 v2 · 2012-11-16 · math.AG · 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{UX5BRBWQ43TNHQ2XQF6YKGF6GW}

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	2026-05-18T03:01:46.944230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5fa1886d0e6e6d3c357817d8518be358f00dfc021dfbef1f3c5c93b07e6b661

Aliases

arxiv: 1211.3941 · arxiv_version: 1211.3941v2 · doi: 10.48550/arxiv.1211.3941 · pith_short_12: UX5BRBWQ43TN · pith_short_16: UX5BRBWQ43TNHQ2X · pith_short_8: UX5BRBWQ

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/UX5BRBWQ43TNHQ2XQF6YKGF6GW \
  | 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: a5fa1886d0e6e6d3c357817d8518be358f00dfc021dfbef1f3c5c93b07e6b661

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42c133164d85b1aec4168f5d8ef3ae9708447484347a0d19822b9209699c3452",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-16T16:20:15Z",
    "title_canon_sha256": "be91316d05390baf2f18580683d36f74c7a58149c504e5aeb35e7389d49bc00c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3941",
    "kind": "arxiv",
    "version": 2
  }
}