Pith Number

pith:NJWOZU6H

pith:2011:NJWOZU6H5T7WW5BKAQ2VLIUETC

not attested not anchored not stored refs pending

Toric Symmetry of CP^3

Dagan Karp, Dhruv Ranganathan, Paul Riggins, Ursula Whitcher

arxiv:1109.5157 v1 · 2011-09-23 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NJWOZU6H5T7WW5BKAQ2VLIUETC}

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	2026-05-18T03:02:18.150241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a6cecd3c7ecff6b742a043555a28498977c2cb7ba8c37a451d4b3533333e046

Aliases

arxiv: 1109.5157 · arxiv_version: 1109.5157v1 · doi: 10.48550/arxiv.1109.5157 · pith_short_12: NJWOZU6H5T7W · pith_short_16: NJWOZU6H5T7WW5BK · pith_short_8: NJWOZU6H

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/NJWOZU6H5T7WW5BKAQ2VLIUETC \
  | 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: 6a6cecd3c7ecff6b742a043555a28498977c2cb7ba8c37a451d4b3533333e046

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b6432ce15fa7893d7aba398e9a1ee098e8751fb9aa858b3f87c1d90834391c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-23T19:04:09Z",
    "title_canon_sha256": "2570375dae9199db7aa0e5eb7f5342955212241e0d3ead6a9e5f6072816c6bef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5157",
    "kind": "arxiv",
    "version": 1
  }
}