Pith Number

pith:USOLCURN

pith:2012:USOLCURN2D6L6PPBMRBQXLFQGG

not attested not anchored not stored refs pending

One-relator Kaehler groups

Indranil Biswas, Mahan Mj

arxiv:1201.5772 v2 · 2012-01-27 · math.GT · math.AG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{USOLCURN2D6L6PPBMRBQXLFQGG}

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	2026-05-18T02:38:17.872103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a49cb1522dd0fcbf3de164430bacb031b32df0492a73c0017c6884bd0d62cb9e

Aliases

arxiv: 1201.5772 · arxiv_version: 1201.5772v2 · doi: 10.48550/arxiv.1201.5772 · pith_short_12: USOLCURN2D6L · pith_short_16: USOLCURN2D6L6PPB · pith_short_8: USOLCURN

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/USOLCURN2D6L6PPBMRBQXLFQGG \
  | 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: a49cb1522dd0fcbf3de164430bacb031b32df0492a73c0017c6884bd0d62cb9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6f1f6b86ebb9cc0aaa294798dd50d2734c16f778c609740314b9cf9aa4893ea",
    "cross_cats_sorted": [
      "math.AG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-01-27T13:38:10Z",
    "title_canon_sha256": "05344e93461c79191670fd438381bfca0636e2cad9ba6bf0609d126b1edd71b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5772",
    "kind": "arxiv",
    "version": 2
  }
}