Pith Number

pith:JU3EKMDY

pith:2012:JU3EKMDY3LOSKPAOX4HBJFMFCD

not attested not anchored not stored refs pending

Deformation of $F$-injectivity and local cohomology

Jun Horiuchi, Kazuma Shimomoto, Lance Edward Miller

arxiv:1210.3589 v3 · 2012-10-12 · math.AC · 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{JU3EKMDY3LOSKPAOX4HBJFMFCD}

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	2026-05-18T03:15:20.984056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d36453078dadd253c0ebf0e14958510e202f28b9fc717bfd5d6f1a80deb3ffd

Aliases

arxiv: 1210.3589 · arxiv_version: 1210.3589v3 · doi: 10.48550/arxiv.1210.3589 · pith_short_12: JU3EKMDY3LOS · pith_short_16: JU3EKMDY3LOSKPAO · pith_short_8: JU3EKMDY

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/JU3EKMDY3LOSKPAOX4HBJFMFCD \
  | 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: 4d36453078dadd253c0ebf0e14958510e202f28b9fc717bfd5d6f1a80deb3ffd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64368c9a06913e33b60357475b8ba4eed635b759e3e93aa1dab30e0e57a470c5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-10-12T18:14:54Z",
    "title_canon_sha256": "e3c41407da76d0ed4f5e78e04f109c8be429bfeb8039f83e9859e9b720982548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3589",
    "kind": "arxiv",
    "version": 3
  }
}