Pith Number

pith:XD5A776Z

pith:2015:XD5A776ZPWYQUDMG5EJUQTD22R

not attested not anchored not stored refs pending

Z-linear Gale duality and poly weighted spaces (PWS)

Lea Terracini, Michele Rossi

arxiv:1501.05244 v2 · 2015-01-21 · 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{XD5A776ZPWYQUDMG5EJUQTD22R}

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	2026-05-18T01:21:32.511504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8fa0fffd97db10a0d86e913484c7ad45302f801bac794874aa7c01b97437608

Aliases

arxiv: 1501.05244 · arxiv_version: 1501.05244v2 · doi: 10.48550/arxiv.1501.05244 · pith_short_12: XD5A776ZPWYQ · pith_short_16: XD5A776ZPWYQUDMG · pith_short_8: XD5A776Z

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/XD5A776ZPWYQUDMG5EJUQTD22R \
  | 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: b8fa0fffd97db10a0d86e913484c7ad45302f801bac794874aa7c01b97437608

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a2f01114c421a961d9f922dd664682b7f7c74cc1038c31ae1f4811257ee5141",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-21T17:46:39Z",
    "title_canon_sha256": "e3292342a6a5ee3a1f4df527daceff3240433320c7e6e5f053a3381d43089749"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05244",
    "kind": "arxiv",
    "version": 2
  }
}