Pith Number

pith:RQJYPHB5

pith:2012:RQJYPHB5JBK3EYA2CDXR6ABPNP

not attested not anchored not stored refs pending

Generic formal fibers and analytically ramified stable rings

Bruce Olberding

arxiv:1208.2913 v1 · 2012-08-14 · 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{RQJYPHB5JBK3EYA2CDXR6ABPNP}

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	2026-05-18T02:29:25.395366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c13879c3d4855b2601a10ef1f002f6bd578b3d85c811d099aecd20ac7dc34f7

Aliases

arxiv: 1208.2913 · arxiv_version: 1208.2913v1 · doi: 10.48550/arxiv.1208.2913 · pith_short_12: RQJYPHB5JBK3 · pith_short_16: RQJYPHB5JBK3EYA2 · pith_short_8: RQJYPHB5

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/RQJYPHB5JBK3EYA2CDXR6ABPNP \
  | 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: 8c13879c3d4855b2601a10ef1f002f6bd578b3d85c811d099aecd20ac7dc34f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a7fa3c4f85f1a5f298c300a58ffe309cd45e2ff6480e0e2a527fb1693f38983",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-08-14T16:09:27Z",
    "title_canon_sha256": "ded80f6227fce8c01bf7756b73b4eb95139ecddf5c70f61492636be7e99b9d9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2913",
    "kind": "arxiv",
    "version": 1
  }
}