Pith Number

pith:4B376DHF

pith:1997:4B376DHFVAK4MRJE6R5SLB2MZ6

not attested not anchored not stored refs pending

Sheaves on Toric Varieties for Physics

A. Knutson, E. Sharpe

arxiv:hep-th/9711036 v2 · 1997-11-05 · hep-th · alg-geom · 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{4B376DHFVAK4MRJE6R5SLB2MZ6}

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	2026-05-18T01:03:31.451018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e077ff0ce5a815c64524f47b25874ccfa155d25e9e6f999249a59b22cc4fad45

Aliases

arxiv: hep-th/9711036 · arxiv_version: hep-th/9711036v2 · doi: 10.48550/arxiv.hep-th/9711036 · pith_short_12: 4B376DHFVAK4 · pith_short_16: 4B376DHFVAK4MRJE · pith_short_8: 4B376DHF

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/4B376DHFVAK4MRJE6R5SLB2MZ6 \
  | 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: e077ff0ce5a815c64524f47b25874ccfa155d25e9e6f999249a59b22cc4fad45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3a7631db3b5255c8792a8fdacca9d39aa9dda351fc827ba50b91febaa514dc1",
    "cross_cats_sorted": [
      "alg-geom",
      "math.AG"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1997-11-05T23:17:28Z",
    "title_canon_sha256": "b85a1d08de4f46ede01790882281457ce0270f04280187f776de5b9a53a324d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9711036",
    "kind": "arxiv",
    "version": 2
  }
}