Pith Number

pith:RV6ZQXXU

pith:2002:RV6ZQXXUIVV76WV3YZYFWAZ6SN

not attested not anchored not stored refs pending

The co-rank conjecture for 3-manifold groups

Alan W. Reid, Christopher J. Leininger

arxiv:math/0202261 v1 · 2002-02-25 · math.GT · 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{RV6ZQXXUIVV76WV3YZYFWAZ6SN}

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	2026-05-18T02:41:33.105279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d7d985ef4456bff5abbc6705b033e93781c8ef856edf2839b02302207b29924

Aliases

arxiv: math/0202261 · arxiv_version: math/0202261v1 · doi: 10.48550/arxiv.math/0202261 · pith_short_12: RV6ZQXXUIVV7 · pith_short_16: RV6ZQXXUIVV76WV3 · pith_short_8: RV6ZQXXU

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/RV6ZQXXUIVV76WV3YZYFWAZ6SN \
  | 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: 8d7d985ef4456bff5abbc6705b033e93781c8ef856edf2839b02302207b29924

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7aba30b8ae7bdb921f22c48e2cc0f0227aaf633f59ad03c6bdd6857cd6949cc",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-02-25T15:30:07Z",
    "title_canon_sha256": "0d09bf6a4762b00520497c1927346461d530c83240b635ab9f2fe77b007350e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0202261",
    "kind": "arxiv",
    "version": 1
  }
}