Pith Number

pith:RB7G3YEH

pith:2012:RB7G3YEH5D3LMYAUOX5ZS5RD64

not attested not anchored not stored refs pending

Quasidualizing Modules

Bethany Kubik

arxiv:1202.0745 v1 · 2012-02-03 · 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{RB7G3YEH5D3LMYAUOX5ZS5RD64}

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	2026-05-18T04:03:08.040670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

887e6de087e8f6b6601475fb997623f73956fac008445cafba421d6f4a04e785

Aliases

arxiv: 1202.0745 · arxiv_version: 1202.0745v1 · doi: 10.48550/arxiv.1202.0745 · pith_short_12: RB7G3YEH5D3L · pith_short_16: RB7G3YEH5D3LMYAU · pith_short_8: RB7G3YEH

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/RB7G3YEH5D3LMYAUOX5ZS5RD64 \
  | 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: 887e6de087e8f6b6601475fb997623f73956fac008445cafba421d6f4a04e785

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cde35f05abad29f9846265b94efea33d3ab2b6b1585e32b05376f7913a3056b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-02-03T16:00:17Z",
    "title_canon_sha256": "40e9e6e29537d4d240f847ca0b398521aca607fc5f6dd9e1275147cba8c70389"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0745",
    "kind": "arxiv",
    "version": 1
  }
}