Pith Number

pith:6KMPH3G3

pith:2011:6KMPH3G3BIILZT42GCEKI3SMGD

not attested not anchored not stored refs pending

Galois extensions, plus closure, and maps on local cohomology

Akiyoshi Sannai, Anurag K. Singh

arxiv:1104.0413 v1 · 2011-04-03 · 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{6KMPH3G3BIILZT42GCEKI3SMGD}

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	2026-05-18T04:05:04.005762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f298f3ecdb0a10bccf9a3088a46e4c30d81739092a82370eeba804923a16b321

Aliases

arxiv: 1104.0413 · arxiv_version: 1104.0413v1 · doi: 10.48550/arxiv.1104.0413 · pith_short_12: 6KMPH3G3BIIL · pith_short_16: 6KMPH3G3BIILZT42 · pith_short_8: 6KMPH3G3

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/6KMPH3G3BIILZT42GCEKI3SMGD \
  | 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: f298f3ecdb0a10bccf9a3088a46e4c30d81739092a82370eeba804923a16b321

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89e9ee41e2ef06de4cdab8303d82efba8877551400f69719f04448b558172f4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-04-03T17:54:57Z",
    "title_canon_sha256": "7b64ff5efdd09dd50e19798115c989575ed09cbbf44914fd64980b97970c785c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0413",
    "kind": "arxiv",
    "version": 1
  }
}