Pith Number

pith:66OAQXQH

pith:2015:66OAQXQHHRPJU5PQSPGQR3WYFY

not attested not anchored not stored refs pending

A Note on Associated Primes and Bockstein Homomorphisms of Local Cohomology Modules for Ramified Regular Local Rings

Rajsekhar Bhattacharyya

arxiv:1512.05686 v1 · 2015-12-17 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{66OAQXQHHRPJU5PQSPGQR3WYFY}

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	2026-05-18T01:24:09.492722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f79c085e073c5e9a75f093cd08eed82e360c28f4a1c8cf29f5261470d2c03710

Aliases

arxiv: 1512.05686 · arxiv_version: 1512.05686v1 · doi: 10.48550/arxiv.1512.05686 · pith_short_12: 66OAQXQHHRPJ · pith_short_16: 66OAQXQHHRPJU5PQ · pith_short_8: 66OAQXQH

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/66OAQXQHHRPJU5PQSPGQR3WYFY \
  | 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: f79c085e073c5e9a75f093cd08eed82e360c28f4a1c8cf29f5261470d2c03710

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e0e758c0bd190758bb2432cc53a8cb7c0efe098bc120f17e0bb08cc1c670885",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-12-17T17:38:17Z",
    "title_canon_sha256": "97d0255ae91f3c1c9daba1f0f7d3b2a28e06fbf806a23b992c66f499ea5447c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05686",
    "kind": "arxiv",
    "version": 1
  }
}