Pith Number

pith:D6UTND3R

pith:2026:D6UTND3RNZKIPKQHB7VTEDWVTU

not attested not anchored not stored refs pending

Basic properties of kappa classes

Valery Alexeev

arxiv:2607.19251 v1 · 2026-07-21 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6UTND3RNZKIPKQHB7VTEDWVTU}

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	2026-07-22T01:24:16.411097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fa9368f716e5487aa070feb320ed59d2cfc15f0ea3482822095943d63e703d3

Aliases

arxiv: 2607.19251 · arxiv_version: 2607.19251v1 · doi: 10.48550/arxiv.2607.19251 · pith_short_12: D6UTND3RNZKI · pith_short_16: D6UTND3RNZKIPKQH · pith_short_8: D6UTND3R

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/D6UTND3RNZKIPKQHB7VTEDWVTU \
  | 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: 1fa9368f716e5487aa070feb320ed59d2cfc15f0ea3482822095943d63e703d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e32c72742fc82cfbe52748acd95818ad07362d50b4314027667180b90889d83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-21T16:20:12Z",
    "title_canon_sha256": "31929ad7469ba9870e68cdeaf40c011317e47815a20fe3922429020e5f50c9b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19251",
    "kind": "arxiv",
    "version": 1
  }
}