Pith Number

pith:AGH2AFW7

pith:2009:AGH2AFW7M6KU63AUBDUMXFMVYS

not attested not anchored not stored refs pending

Connected gradings and fundamental group

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

arxiv:0906.3069 v4 · 2009-06-17 · math.RA · math.AT · math.KT · math.QA · 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{AGH2AFW7M6KU63AUBDUMXFMVYS}

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	2026-05-18T00:13:48.831449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

018fa016df67954f6c1408e8cb9595c4b6f4c2ae70008096e5c532ddf96dc3f4

Aliases

arxiv: 0906.3069 · arxiv_version: 0906.3069v4 · doi: 10.48550/arxiv.0906.3069 · pith_short_12: AGH2AFW7M6KU · pith_short_16: AGH2AFW7M6KU63AU · pith_short_8: AGH2AFW7

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/AGH2AFW7M6KU63AUBDUMXFMVYS \
  | 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: 018fa016df67954f6c1408e8cb9595c4b6f4c2ae70008096e5c532ddf96dc3f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb7e16b4a24e4f45420d2feed07e12180872f184eb913b3c915345cb38708cf1",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT",
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-06-17T04:44:32Z",
    "title_canon_sha256": "01bdd728d61396aeb4a49ee856f4c952f51eb78fcc000f4b92436d592eb98bb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3069",
    "kind": "arxiv",
    "version": 4
  }
}