Pith Number

pith:HXJDBJFA

pith:2017:HXJDBJFA4DHEAMKNDCBPJ7AY2H

not attested not anchored not stored refs pending

On monodromy in families of elliptic curves over $\mathbb C$

Serge Lvovski

arxiv:1705.02129 v5 · 2017-05-05 · 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{HXJDBJFA4DHEAMKNDCBPJ7AY2H}

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	2026-05-18T00:14:01.169705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dd230a4a0e0ce40314d1882f4fc18d1d1f8d58b694455df6d3314f2f2f9ad03

Aliases

arxiv: 1705.02129 · arxiv_version: 1705.02129v5 · doi: 10.48550/arxiv.1705.02129 · pith_short_12: HXJDBJFA4DHE · pith_short_16: HXJDBJFA4DHEAMKN · pith_short_8: HXJDBJFA

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/HXJDBJFA4DHEAMKNDCBPJ7AY2H \
  | 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: 3dd230a4a0e0ce40314d1882f4fc18d1d1f8d58b694455df6d3314f2f2f9ad03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09e578beb4f64c677c2d5cddbd84f5b9b996cd3db8bac7e2da2a3838c7b87b82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-05-05T08:46:10Z",
    "title_canon_sha256": "66716251e025f0564154c06758246860914a91eea8206fddb43a8c29250e3b73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02129",
    "kind": "arxiv",
    "version": 5
  }
}