Pith Number

pith:4M2I6HLV

pith:2008:4M2I6HLVC4TRFSU637NQLTAMIK

not attested not anchored not stored refs pending

An open image theorem for a general class of abelian varieties

Chris Hall

arxiv:0803.1682 v1 · 2008-03-11 · 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{4M2I6HLVC4TRFSU637NQLTAMIK}

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	2026-05-18T02:58:11.719459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3348f1d75172712ca9edfdb05cc0c42b7983985c530496ca965169d09f18d7e

Aliases

arxiv: 0803.1682 · arxiv_version: 0803.1682v1 · doi: 10.48550/arxiv.0803.1682 · pith_short_12: 4M2I6HLVC4TR · pith_short_16: 4M2I6HLVC4TRFSU6 · pith_short_8: 4M2I6HLV

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/4M2I6HLVC4TRFSU637NQLTAMIK \
  | 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: e3348f1d75172712ca9edfdb05cc0c42b7983985c530496ca965169d09f18d7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "836983c16c294b8b5c994c26899a32fbc7e425f88b31075a9bd6283f68cb5c75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-03-11T23:01:02Z",
    "title_canon_sha256": "eaf97601aa32f20a1e6d5197348657bd0f2bd0708cd39b9df21371273c14d0d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.1682",
    "kind": "arxiv",
    "version": 1
  }
}