Pith Number

pith:HRWECYUA

pith:2010:HRWECYUAT2NR3T4BZNPYHYVJ6O

not attested not anchored not stored refs pending

Musings on $\Q(1/4)$: Arithmetic spin structures on elliptic curves

Kirti Joshi

arxiv:1005.3008 v1 · 2010-05-17 · 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{HRWECYUAT2NR3T4BZNPYHYVJ6O}

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	2026-05-18T03:21:08.810400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c6c4162809e9b1dcf81cb5f83e2a9f3b7a28277e19a41a43a190c7c685c2218

Aliases

arxiv: 1005.3008 · arxiv_version: 1005.3008v1 · doi: 10.48550/arxiv.1005.3008 · pith_short_12: HRWECYUAT2NR · pith_short_16: HRWECYUAT2NR3T4B · pith_short_8: HRWECYUA

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/HRWECYUAT2NR3T4BZNPYHYVJ6O \
  | 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: 3c6c4162809e9b1dcf81cb5f83e2a9f3b7a28277e19a41a43a190c7c685c2218

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ef3eeab6e332ce742bdb783f6a9e619092dbcfcd4c8abef5138be7a0192389d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-05-17T19:36:35Z",
    "title_canon_sha256": "5edcdce01e51a78d01db60c82235c281daa8a100b49c18d14323be7e1cf460a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3008",
    "kind": "arxiv",
    "version": 1
  }
}