Pith Number

pith:ZJ44Q6K6

pith:2012:ZJ44Q6K6KFQCT4O43X6PONPROD

not attested not anchored not stored refs pending

Bass numbers over local rings via stable cohomology

Luchezar L. Avramov, Srikanth B. Iyengar

arxiv:1208.4458 v1 · 2012-08-22 · 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{ZJ44Q6K6KFQCT4O43X6PONPROD}

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	2026-05-18T03:48:14.206993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca79c8795e516029f1dcddfcf735f170d1afa12ca4d6240608ceccd4b47a081c

Aliases

arxiv: 1208.4458 · arxiv_version: 1208.4458v1 · doi: 10.48550/arxiv.1208.4458 · pith_short_12: ZJ44Q6K6KFQC · pith_short_16: ZJ44Q6K6KFQCT4O4 · pith_short_8: ZJ44Q6K6

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/ZJ44Q6K6KFQCT4O43X6PONPROD \
  | 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: ca79c8795e516029f1dcddfcf735f170d1afa12ca4d6240608ceccd4b47a081c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50b6607e164dae5ee0c7c98ca575f75ef37521d3e97213f7b9cebda685ebe985",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-08-22T09:41:33Z",
    "title_canon_sha256": "ac2e3cffdae608a8d8d499cbaf1495a755874ced58ec01987b6593ea54fc68fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4458",
    "kind": "arxiv",
    "version": 1
  }
}