Pith Number

pith:SHJCAPI3

pith:2011:SHJCAPI3R4QMZ5KAN4JPLWWM2Y

not attested not anchored not stored refs pending

Geometric and homological finiteness in free abelian covers

Alexander I. Suciu

arxiv:1112.0948 v2 · 2011-12-05 · math.GR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SHJCAPI3R4QMZ5KAN4JPLWWM2Y}

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	2026-05-18T02:40:19.007877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91d2203d1b8f20ccf5406f12f5daccd6359945b123c250c4f12511046365f19c

Aliases

arxiv: 1112.0948 · arxiv_version: 1112.0948v2 · doi: 10.48550/arxiv.1112.0948 · pith_short_12: SHJCAPI3R4QM · pith_short_16: SHJCAPI3R4QMZ5KA · pith_short_8: SHJCAPI3

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/SHJCAPI3R4QMZ5KAN4JPLWWM2Y \
  | 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: 91d2203d1b8f20ccf5406f12f5daccd6359945b123c250c4f12511046365f19c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98275d8526b5411dc00d141b390a4bf5cfa4eb907db5ec5b822c17619c652be7",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-12-05T14:46:09Z",
    "title_canon_sha256": "c2ec67f318036a4d003653c0547ec42ab3c8bc2c7bcfd1965b962f8c53c868e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0948",
    "kind": "arxiv",
    "version": 2
  }
}