Pith Number

pith:GMM5ZLZF

pith:2010:GMM5ZLZF25PLCAX42HFP46G3D6

not attested not anchored not stored refs pending

Constructing Universal Abelian Covers of Graph Manifolds

Helge M{\o}ller Pedersen

arxiv:1011.0555 v1 · 2010-11-02 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMM5ZLZF25PLCAX42HFP46G3D6}

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	2026-05-18T04:37:21.350697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3319dcaf25d75eb102fcd1cafe78db1f816b414577cc9faf59b21c758879c9b5

Aliases

arxiv: 1011.0555 · arxiv_version: 1011.0555v1 · doi: 10.48550/arxiv.1011.0555 · pith_short_12: GMM5ZLZF25PL · pith_short_16: GMM5ZLZF25PLCAX4 · pith_short_8: GMM5ZLZF

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/GMM5ZLZF25PLCAX42HFP46G3D6 \
  | 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: 3319dcaf25d75eb102fcd1cafe78db1f816b414577cc9faf59b21c758879c9b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbe685bf72938cb71018611434504b96811f21edec057e535a09dcb91571f8db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-11-02T09:49:30Z",
    "title_canon_sha256": "1ac738d17ef39ba89de72b9583ded8b3998be1b63389f399ce0192b80a7a3193"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0555",
    "kind": "arxiv",
    "version": 1
  }
}