Pith Number

pith:MDOQ6Z75

pith:2015:MDOQ6Z756DT7OGSPSPOMWB5VTU

not attested not anchored not stored refs pending

Fans and generators of free abelian l-groups

Daniele Mundici

arxiv:1507.00958 v1 · 2015-07-03 · 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{MDOQ6Z756DT7OGSPSPOMWB5VTU}

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	2026-05-18T01:37:22.158730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60dd0f67fdf0e7f71a4f93dccb07b59d1e4c3a4b3238ae5b396c7c8581eec8dd

Aliases

arxiv: 1507.00958 · arxiv_version: 1507.00958v1 · doi: 10.48550/arxiv.1507.00958 · pith_short_12: MDOQ6Z756DT7 · pith_short_16: MDOQ6Z756DT7OGSP · pith_short_8: MDOQ6Z75

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/MDOQ6Z756DT7OGSPSPOMWB5VTU \
  | 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: 60dd0f67fdf0e7f71a4f93dccb07b59d1e4c3a4b3238ae5b396c7c8581eec8dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a016aa90c473ed4ebd59d0762225f5ef854d8829b03ffae7d6c85796c567e9fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-07-03T15:59:39Z",
    "title_canon_sha256": "0f17ba831d07cfa8517b94265171a05236b4a900325fbcbb230ee8fcaab0fa6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00958",
    "kind": "arxiv",
    "version": 1
  }
}