Pith Number

pith:LJFXM26C

pith:2018:LJFXM26CZZ333G3DOAUYJGDPQR

not attested not anchored not stored refs pending

Formal Duality in Finite Abelian Groups

Alexander Pott, Robert Sch\"uler, Shuxing Li

arxiv:1804.06328 v3 · 2018-04-17 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJFXM26CZZ333G3DOAUYJGDPQR}

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	2026-05-18T00:01:38.507457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a4b766bc2ce77bd9b63702984986f84422c060e8e31f6cad37d0a3c6f32cacb

Aliases

arxiv: 1804.06328 · arxiv_version: 1804.06328v3 · doi: 10.48550/arxiv.1804.06328 · pith_short_12: LJFXM26CZZ33 · pith_short_16: LJFXM26CZZ333G3D · pith_short_8: LJFXM26C

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/LJFXM26CZZ333G3DOAUYJGDPQR \
  | 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: 5a4b766bc2ce77bd9b63702984986f84422c060e8e31f6cad37d0a3c6f32cacb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4f72e1c820f13ac4c608814886107edb00ad3daae2c67f80362c38990102641",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-17T15:40:55Z",
    "title_canon_sha256": "113b89f74e0d6ed76c8f20542528d600ae703836f03e4dbd27c498f15a30e987"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06328",
    "kind": "arxiv",
    "version": 3
  }
}