Pith Number

pith:VRMJZJR2

pith:2012:VRMJZJR2CWDNL4LAYXG3AHL2EZ

not attested not anchored not stored refs pending

Generic Phenomena in Groups -- Some Answers and Many Questions

Igor Rivin

arxiv:1211.6509 v1 · 2012-11-28 · math.GT · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRMJZJR2CWDNL4LAYXG3AHL2EZ}

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	2026-05-18T03:39:51.317195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac589ca63a1586d5f160c5cdb01d7a2674ed80b7a9fc1498b073f9f10009e6df

Aliases

arxiv: 1211.6509 · arxiv_version: 1211.6509v1 · doi: 10.48550/arxiv.1211.6509 · pith_short_12: VRMJZJR2CWDN · pith_short_16: VRMJZJR2CWDNL4LA · pith_short_8: VRMJZJR2

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/VRMJZJR2CWDNL4LAYXG3AHL2EZ \
  | 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: ac589ca63a1586d5f160c5cdb01d7a2674ed80b7a9fc1498b073f9f10009e6df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d9f5485ef1717419c7ab655e6b344ceac2af4f23ea50303cd864ac40ebf443f",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-11-28T03:27:17Z",
    "title_canon_sha256": "b0a0eb6792a524436e1ad0e8cb4ecb8729539d10fba9bc0c857b597bdae9ea0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6509",
    "kind": "arxiv",
    "version": 1
  }
}