Pith Number

pith:SPQUOMGU

pith:2003:SPQUOMGUAXSSCJDHRNWV66V6SR

not attested not anchored not stored refs pending

On the non-balanced property of the category of crossed modules in groups

Simona Paoli

arxiv:math/0309400 v1 · 2003-09-24 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPQUOMGUAXSSCJDHRNWV66V6SR}

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	2026-05-18T01:05:28.619739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93e14730d405e52124678b6d5f7abe947844ee2dff5329a552d5bd13fccf14b5

Aliases

arxiv: math/0309400 · arxiv_version: math/0309400v1 · doi: 10.48550/arxiv.math/0309400 · pith_short_12: SPQUOMGUAXSS · pith_short_16: SPQUOMGUAXSSCJDH · pith_short_8: SPQUOMGU

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/SPQUOMGUAXSSCJDHRNWV66V6SR \
  | 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: 93e14730d405e52124678b6d5f7abe947844ee2dff5329a552d5bd13fccf14b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaee4f2c6165fd4ce1337693203829e4226b4b74987c7c856d349a28284a9a36",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2003-09-24T12:07:58Z",
    "title_canon_sha256": "6758fa6908683afe4bc4ed0a213710df2e8dcaba9167e0759c7acf1f2cadeb57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309400",
    "kind": "arxiv",
    "version": 1
  }
}