Pith Number

pith:PA7U7MCN

pith:2013:PA7U7MCNB47LUMD53OLKRD6KK7

not attested not anchored not stored refs pending

Computing isogenies between supersingular elliptic curves over F_p

Christina Delfs, Steven D. Galbraith

arxiv:1310.7789 v1 · 2013-10-29 · 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{PA7U7MCNB47LUMD53OLKRD6KK7}

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	2026-05-18T03:08:27.962833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

783f4fb04d0f3eba307ddb96a88fca57f60faf926af2696ff02c3202247f952e

Aliases

arxiv: 1310.7789 · arxiv_version: 1310.7789v1 · doi: 10.48550/arxiv.1310.7789 · pith_short_12: PA7U7MCNB47L · pith_short_16: PA7U7MCNB47LUMD5 · pith_short_8: PA7U7MCN

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/PA7U7MCNB47LUMD53OLKRD6KK7 \
  | 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: 783f4fb04d0f3eba307ddb96a88fca57f60faf926af2696ff02c3202247f952e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b8336e973aef158cbd2e389ebe0844d7e1c42cb1cb7f8e30e5d9acb2c82bdfb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-29T12:46:51Z",
    "title_canon_sha256": "4030ef28e6b42297c59f7ddfc0cd795f6f3f96fe62f1089a0b72244c70a5b01e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7789",
    "kind": "arxiv",
    "version": 1
  }
}