Pith Number

pith:TQ7HSWAU

pith:2013:TQ7HSWAUSOPQ2DSTK5HSXGWEKV

not attested not anchored not stored refs pending

Reflexive and spanned sheaves on $\mathbb{P}^3$

Edoardo Ballico, Francesco Malaspina, Sukmoon Huh

arxiv:1301.1822 v1 · 2013-01-09 · 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{TQ7HSWAUSOPQ2DSTK5HSXGWEKV}

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	2026-05-18T03:36:55.871185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c3e795814939f0d0e53574f2b9ac4554a048dcb547723a89dda9595edf8aab5

Aliases

arxiv: 1301.1822 · arxiv_version: 1301.1822v1 · doi: 10.48550/arxiv.1301.1822 · pith_short_12: TQ7HSWAUSOPQ · pith_short_16: TQ7HSWAUSOPQ2DST · pith_short_8: TQ7HSWAU

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/TQ7HSWAUSOPQ2DSTK5HSXGWEKV \
  | 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: 9c3e795814939f0d0e53574f2b9ac4554a048dcb547723a89dda9595edf8aab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "612299567ab0cb66e15cd01e7a2e1727f5fde05ee588d948fb195c128a050149",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-01-09T12:00:26Z",
    "title_canon_sha256": "401b85b8ba089cc5331ed0865ba5265e7f1a119a998d71e83e6bb8102538415d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1822",
    "kind": "arxiv",
    "version": 1
  }
}