Pith Number

pith:T2UZUUGU

pith:2007:T2UZUUGUTM4G2P37RXXY4GD6K3

not attested not anchored not stored refs pending

The Intrinsic Fundamental Group of a Linear Category

Andrea Solotar (Departamento De Matematica UBA), Claude Cibils (I3M), Maria Julia Redondo (Departamento De Matematica UNS)

arxiv:0706.2491 v4 · 2007-06-17 · math.RA · math.CT · math.KT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T2UZUUGUTM4G2P37RXXY4GD6K3}

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	2026-05-18T00:13:48.841345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ea99a50d49b386d3f7f8def8e187e56e0fc54d2f7010f0cdf2eff6ce971f615

Aliases

arxiv: 0706.2491 · arxiv_version: 0706.2491v4 · doi: 10.48550/arxiv.0706.2491 · pith_short_12: T2UZUUGUTM4G · pith_short_16: T2UZUUGUTM4G2P37 · pith_short_8: T2UZUUGU

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/T2UZUUGUTM4G2P37RXXY4GD6K3 \
  | 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: 9ea99a50d49b386d3f7f8def8e187e56e0fc54d2f7010f0cdf2eff6ce971f615

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa0640de1878e754a8d6a78d8264235ce23f01527b42a569a119e0445ba2f7cb",
    "cross_cats_sorted": [
      "math.CT",
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2007-06-17T17:15:53Z",
    "title_canon_sha256": "0f8ab53a05da9f41f90506ab36bbdf29e4af2161f5a0620965112bf85281145d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.2491",
    "kind": "arxiv",
    "version": 4
  }
}