Pith Number

pith:JSLKEVBM

pith:2011:JSLKEVBMK3NGEMGMJ2LG4QSSV2

not attested not anchored not stored refs pending

Projective varieties covered by isotrivial families

Anupam Bhatnagar

arxiv:1110.5661 v2 · 2011-10-25 · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JSLKEVBMK3NGEMGMJ2LG4QSSV2}

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	2026-05-18T03:35:38.753643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c96a2542c56da6230cc4e966e4252ae991cf6d637eccca04edf74db0eda6773

Aliases

arxiv: 1110.5661 · arxiv_version: 1110.5661v2 · doi: 10.48550/arxiv.1110.5661 · pith_short_12: JSLKEVBMK3NG · pith_short_16: JSLKEVBMK3NGEMGM · pith_short_8: JSLKEVBM

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/JSLKEVBMK3NGEMGMJ2LG4QSSV2 \
  | 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: 4c96a2542c56da6230cc4e966e4252ae991cf6d637eccca04edf74db0eda6773

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89764e50a32b87044a85e849f3720453c01f230275f3aa653cbe7697499994cf",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-25T20:44:41Z",
    "title_canon_sha256": "cb0dd583f446ed00d1234b8d0dc325933d32a75682e783e868d68c5127197e3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5661",
    "kind": "arxiv",
    "version": 2
  }
}