Pith Number

pith:CQL5RS4X

pith:2023:CQL5RS4XCCZYYXTSQ3QUJHJPMW

not attested not anchored not stored refs pending

Abelian surfaces with supersingular good reduction and non semisimple Tate module

Maja Volkov

arxiv:2301.05564 v1 · 2023-01-13 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQL5RS4XCCZYYXTSQ3QUJHJPMW}

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	2026-07-05T05:32:54.354470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1417d8cb9710b38c5e7286e1449d2f65ad30c1cfe9a809f73004c93a92e0ac7e

Aliases

arxiv: 2301.05564 · arxiv_version: 2301.05564v1 · doi: 10.48550/arxiv.2301.05564 · pith_short_12: CQL5RS4XCCZY · pith_short_16: CQL5RS4XCCZYYXTS · pith_short_8: CQL5RS4X

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/CQL5RS4XCCZYYXTSQ3QUJHJPMW \
  | 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: 1417d8cb9710b38c5e7286e1449d2f65ad30c1cfe9a809f73004c93a92e0ac7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e9200bc984b98998e69ecd1c3f3ea07dc18b7561f20786136f4b114188ba3f1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-01-13T14:10:49Z",
    "title_canon_sha256": "d3dc5e7203e23d7cc00d3f3417d0b8dc7296ab71e495f90e0eb4d875026a8e96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.05564",
    "kind": "arxiv",
    "version": 1
  }
}