Pith Number

pith:75PBXVND

pith:2011:75PBXVNDXVXARR65X23TITDTWT

not attested not anchored not stored refs pending

Flat 3-webs via semi-simple Frobenius 3-folds

Sergey I. Agafonov

arxiv:1108.1997 v2 · 2011-08-09 · math.DG · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{75PBXVNDXVXARR65X23TITDTWT}

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	2026-05-18T02:00:59.701916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff5e1bd5a3bd6e08c7ddbeb7344c73b4dc7e207d3769ad5f689590b28f7afbbb

Aliases

arxiv: 1108.1997 · arxiv_version: 1108.1997v2 · doi: 10.48550/arxiv.1108.1997 · pith_short_12: 75PBXVNDXVXA · pith_short_16: 75PBXVNDXVXARR65 · pith_short_8: 75PBXVND

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/75PBXVNDXVXARR65X23TITDTWT \
  | 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: ff5e1bd5a3bd6e08c7ddbeb7344c73b4dc7e207d3769ad5f689590b28f7afbbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afe0e86e16358d6e9e78cee0da7e4ad1c81273506bf9413891864e1fe350b7a9",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-08-09T17:58:42Z",
    "title_canon_sha256": "e2ab20aec9cc63263bcd58d1602ba9be01c401b539710f4e282607e9999f9c03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1997",
    "kind": "arxiv",
    "version": 2
  }
}