Pith Number

pith:FRR4KOSQ

pith:2026:FRR4KOSQDAIHGCIZOUZNOGN4HF

not attested not anchored not stored refs pending

Reducibility of spectral curves of finite Jacobi pencils

B.Shapiro

arxiv:2605.14817 v1 · 2026-05-14 · math.SP · 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{FRR4KOSQDAIHGCIZOUZNOGN4HF}

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	2026-05-17T23:38:58.182503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c63c53a5018107309197532d719bc394f41b413b2c48708c0d4a48cf128297e

Aliases

arxiv: 2605.14817 · arxiv_version: 2605.14817v1 · doi: 10.48550/arxiv.2605.14817 · pith_short_12: FRR4KOSQDAIH · pith_short_16: FRR4KOSQDAIHGCIZ · pith_short_8: FRR4KOSQ

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/FRR4KOSQDAIHGCIZOUZNOGN4HF \
  | 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: 2c63c53a5018107309197532d719bc394f41b413b2c48708c0d4a48cf128297e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39ca3e8eeb8732c3a146efae09ea7c9289172483000f62439dfba7c6754ccb19",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-05-14T13:28:29Z",
    "title_canon_sha256": "943a9941efe5af2be90fd75904a84f7c2a790968bac2cd797433fd8f5d67a223"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14817",
    "kind": "arxiv",
    "version": 1
  }
}