Pith Number

pith:GP7M2ILP

pith:2003:GP7M2ILPRJC6RVB3K2K3YEPECM

not attested not anchored not stored refs pending

Hyper-reflexivity of free semigroupoid algebras

Fr\'ed\'eric Ja\"eck, Stephen C. Power

arxiv:math/0311201 v2 · 2003-11-12 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GP7M2ILPRJC6RVB3K2K3YEPECM}

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	2026-05-18T01:08:59.765277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33fecd216f8a45e8d43b5695bc11e41339abf5b2245efe53d903101005fb3ab1

Aliases

arxiv: math/0311201 · arxiv_version: math/0311201v2 · doi: 10.48550/arxiv.math/0311201 · pith_short_12: GP7M2ILPRJC6 · pith_short_16: GP7M2ILPRJC6RVB3 · pith_short_8: GP7M2ILP

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/GP7M2ILPRJC6RVB3K2K3YEPECM \
  | 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: 33fecd216f8a45e8d43b5695bc11e41339abf5b2245efe53d903101005fb3ab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18e8e004eea556b817e2f74bc464c1d40242451413d3fcf4fc954815d1f90fac",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2003-11-12T16:30:37Z",
    "title_canon_sha256": "b3dc5c31d79eb26acacdf064f6f070ede99b407297ab7b90d5871f7e5f30c907"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311201",
    "kind": "arxiv",
    "version": 2
  }
}