Pith Number

pith:HL7MY5M6

pith:2015:HL7MY5M6GO7YBBWH3NK755BBU6

not attested not anchored not stored refs pending

On compatibility between isogenies and polarisations of abelian varieties

Martin Orr

arxiv:1506.04011 v3 · 2015-06-12 · 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{HL7MY5M6GO7YBBWH3NK755BBU6}

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	2026-05-18T00:40:28.966693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3afecc759e33bf8086c7db55fef421a7a14b7d229406a07da32201d4a4ace1b1

Aliases

arxiv: 1506.04011 · arxiv_version: 1506.04011v3 · doi: 10.48550/arxiv.1506.04011 · pith_short_12: HL7MY5M6GO7Y · pith_short_16: HL7MY5M6GO7YBBWH · pith_short_8: HL7MY5M6

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/HL7MY5M6GO7YBBWH3NK755BBU6 \
  | 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: 3afecc759e33bf8086c7db55fef421a7a14b7d229406a07da32201d4a4ace1b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ffa206c0d9ed5fe80c7f7c1817c16d4520bdc72917acdd913696a91a12eed2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-12T13:06:12Z",
    "title_canon_sha256": "2c73e67f86a7f373db2c70e8d9fb3a55b3de81c0d7bb3b9fce55777ba8e67125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04011",
    "kind": "arxiv",
    "version": 3
  }
}