Pith Number

pith:Z7OM2KRS

pith:2015:Z7OM2KRS6OGM3NBSNDGLQ3N3CK

not attested not anchored not stored refs pending

Asymptotic Weights of Syzygies of Toric Varieties

Xin Zhou

arxiv:1501.06112 v2 · 2015-01-25 · 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{Z7OM2KRS6OGM3NBSNDGLQ3N3CK}

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	2026-05-18T02:28:39.629846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfdccd2a32f38ccdb43268ccb86dbb12bda23e5ad41aea8427cc67f7d1186557

Aliases

arxiv: 1501.06112 · arxiv_version: 1501.06112v2 · doi: 10.48550/arxiv.1501.06112 · pith_short_12: Z7OM2KRS6OGM · pith_short_16: Z7OM2KRS6OGM3NBS · pith_short_8: Z7OM2KRS

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/Z7OM2KRS6OGM3NBSNDGLQ3N3CK \
  | 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: cfdccd2a32f38ccdb43268ccb86dbb12bda23e5ad41aea8427cc67f7d1186557

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ad3f38fb40af85bdef8f318b9ab6f7c3ebe84f66744153b151e100bafa3cc78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-25T04:43:59Z",
    "title_canon_sha256": "5fac8909482e7729286729bbbd32d3135627c62262fd38515996bfaf1caee83f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06112",
    "kind": "arxiv",
    "version": 2
  }
}