Pith Number

pith:Z76WJPZJ

pith:2013:Z76WJPZJNH7DJC7Z56UEWJYYPG

not attested not anchored not stored refs pending

The closure of a linear space in a product of lines

Adam Boocher, Federico Ardila

arxiv:1312.6874 v3 · 2013-12-24 · math.AC · 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{Z76WJPZJNH7DJC7Z56UEWJYYPG}

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	2026-05-18T02:41:41.924396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cffd64bf2969fe348bf9efa84b271879b4347201b504c255e3397fded14a919b

Aliases

arxiv: 1312.6874 · arxiv_version: 1312.6874v3 · doi: 10.48550/arxiv.1312.6874 · pith_short_12: Z76WJPZJNH7D · pith_short_16: Z76WJPZJNH7DJC7Z · pith_short_8: Z76WJPZJ

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/Z76WJPZJNH7DJC7Z56UEWJYYPG \
  | 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: cffd64bf2969fe348bf9efa84b271879b4347201b504c255e3397fded14a919b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b7b29157e92cd4fbb1a2f6225bf8006daaf00eaa0477402ca62025af10b865e",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-12-24T19:11:44Z",
    "title_canon_sha256": "b3f3d64cd97a1b198fe033914427c7cf7728c870a264c533d3e7843378157653"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6874",
    "kind": "arxiv",
    "version": 3
  }
}