Pith Number

pith:W3MQH5JI

pith:2017:W3MQH5JI7LOVBHLEJT4QNY5WWK

not attested not anchored not stored refs pending

Potentials of a Frobenius like structure

Alexander Varchenko, Claus Hertling

arxiv:1712.08389 v1 · 2017-12-22 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W3MQH5JI7LOVBHLEJT4QNY5WWK}

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	2026-05-18T00:27:23.605224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6d903f528fadd509d644cf906e3b6b2a9346431e947c8ed75b2fa12bf641e82

Aliases

arxiv: 1712.08389 · arxiv_version: 1712.08389v1 · doi: 10.48550/arxiv.1712.08389 · pith_short_12: W3MQH5JI7LOV · pith_short_16: W3MQH5JI7LOVBHLE · pith_short_8: W3MQH5JI

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/W3MQH5JI7LOVBHLEJT4QNY5WWK \
  | 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: b6d903f528fadd509d644cf906e3b6b2a9346431e947c8ed75b2fa12bf641e82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4baf2157af7151d3500106c8804f3f3d4dc4a18655711b9c6d5da032c13a691",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-22T10:51:09Z",
    "title_canon_sha256": "d281372a5321242af9a3526d59d02221417d9feb484a1dc43fa7349e157f36f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08389",
    "kind": "arxiv",
    "version": 1
  }
}