Pith Number

pith:D4DAC3TG

pith:2026:D4DAC3TG64K4T3JJWRICNLWNOQ

not attested not anchored not stored refs pending

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures

Theodoros Stylianos Papazachariou

arxiv:2607.17878 v1 · 2026-07-20 · 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{D4DAC3TG64K4T3JJWRICNLWNOQ}

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	2026-07-21T02:22:04.696475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f06016e66f715c9ed29b45026aecd7409100ef1fdde5ea6614f3ac3909198b8

Aliases

arxiv: 2607.17878 · arxiv_version: 2607.17878v1 · doi: 10.48550/arxiv.2607.17878 · pith_short_12: D4DAC3TG64K4 · pith_short_16: D4DAC3TG64K4T3JJ · pith_short_8: D4DAC3TG

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/D4DAC3TG64K4T3JJWRICNLWNOQ \
  | 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: 1f06016e66f715c9ed29b45026aecd7409100ef1fdde5ea6614f3ac3909198b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c9c91785590b11873c3a642b095e04aed11c479a368d080de731da670862872",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-20T12:26:07Z",
    "title_canon_sha256": "7ab06cdcb10c1ba760e16fa51f9fc5229fe8a5fd7b9904243cc4fafe02df12c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17878",
    "kind": "arxiv",
    "version": 1
  }
}