Pith Number

pith:WVAWSN6I

pith:2015:WVAWSN6II2V47ULBVHPI36UUE6

not attested not anchored not stored refs pending

An effective Arakelov-theoretic version of the hyperbolic isogeny theorem

Ariyan Javanpeykar

arxiv:1511.07032 v1 · 2015-11-22 · math.AG · 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{WVAWSN6II2V47ULBVHPI36UUE6}

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	2026-05-18T01:17:42.877366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5416937c846abcfd161a9de8dfa9427a03aa0152094ce254345336683aabf52

Aliases

arxiv: 1511.07032 · arxiv_version: 1511.07032v1 · doi: 10.48550/arxiv.1511.07032 · pith_short_12: WVAWSN6II2V4 · pith_short_16: WVAWSN6II2V47ULB · pith_short_8: WVAWSN6I

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/WVAWSN6II2V47ULBVHPI36UUE6 \
  | 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: b5416937c846abcfd161a9de8dfa9427a03aa0152094ce254345336683aabf52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d60930fa9ecc5598adf0469e8d7ce11de619f2e72a96f869d00264f965c33966",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-22T16:50:25Z",
    "title_canon_sha256": "7166c5e3a522832c446a74b93c7eba78c5f559461623d331e9e3be3207febaf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07032",
    "kind": "arxiv",
    "version": 1
  }
}