Pith Number

pith:GSFMS2EO

pith:2024:GSFMS2EOSAWKNWLGFIKHDB4PIY

not attested not anchored not stored refs pending

Monodromy results for abelian surfaces and K3 surfaces with bad reduction

Tejasi Bhatnagar

arxiv:2411.16865 v1 · 2024-11-25 · math.NT · 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{GSFMS2EOSAWKNWLGFIKHDB4PIY}

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	2026-07-05T09:40:24.152469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

348ac9688e902ca6d9662a1471878f462e3efad89da2a548f9c3d07354f9b36c

Aliases

arxiv: 2411.16865 · arxiv_version: 2411.16865v1 · doi: 10.48550/arxiv.2411.16865 · pith_short_12: GSFMS2EOSAWK · pith_short_16: GSFMS2EOSAWKNWLG · pith_short_8: GSFMS2EO

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/GSFMS2EOSAWKNWLGFIKHDB4PIY \
  | 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: 348ac9688e902ca6d9662a1471878f462e3efad89da2a548f9c3d07354f9b36c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2efa9e22761c96883576532f72aaea26e19aff6cdeac81eef8178f63674029b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-25T19:03:17Z",
    "title_canon_sha256": "e4ffc9d5871f06f985f5cd0c1f4741d8ff0a93b33c40be83555ff2b950d46f02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16865",
    "kind": "arxiv",
    "version": 1
  }
}