Pith Number

pith:PXOYN7O5

pith:2007:PXOYN7O5TUABZMHMZ4WTHGCQJR

not attested not anchored not stored refs pending

Gaussian curvature at the hyperelliptic Weierstrass points

Abel Castorena

arxiv:math/0703075 v2 · 2007-03-03 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PXOYN7O5TUABZMHMZ4WTHGCQJR}

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	2026-05-18T04:00:49.763402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ddd86fddd9d001cb0eccf2d3398504c625c77924f5822e2e84147b2849773d4

Aliases

arxiv: math/0703075 · arxiv_version: math/0703075v2 · doi: 10.48550/arxiv.math/0703075 · pith_short_12: PXOYN7O5TUAB · pith_short_16: PXOYN7O5TUABZMHM · pith_short_8: PXOYN7O5

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/PXOYN7O5TUABZMHMZ4WTHGCQJR \
  | 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: 7ddd86fddd9d001cb0eccf2d3398504c625c77924f5822e2e84147b2849773d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9da4ec70944d464eae3cd7abf68ef078dc3aede76f6a4a56fb711b88f6d0f59",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-03-03T00:42:43Z",
    "title_canon_sha256": "cea443a8b06171549480236ac69ddf2e781bad221faf20fe9fdbff3f8cb2007b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703075",
    "kind": "arxiv",
    "version": 2
  }
}