Pith Number

pith:UQJT7NVS

pith:2013:UQJT7NVSABUVVECDOL7IKHBLVQ

not attested not anchored not stored refs pending

On curves with nonnegative torsion

Hubert L. Bray, Jeffrey L. Jauregui

arxiv:1312.5171 v2 · 2013-12-18 · 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{UQJT7NVSABUVVECDOL7IKHBLVQ}

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	2026-05-18T01:26:11.062096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4133fb6b200695a904372fe851c2bac07a94c9755af1952e35922d6765ba4cc

Aliases

arxiv: 1312.5171 · arxiv_version: 1312.5171v2 · doi: 10.48550/arxiv.1312.5171 · pith_short_12: UQJT7NVSABUV · pith_short_16: UQJT7NVSABUVVECD · pith_short_8: UQJT7NVS

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/UQJT7NVSABUVVECDOL7IKHBLVQ \
  | 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: a4133fb6b200695a904372fe851c2bac07a94c9755af1952e35922d6765ba4cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bf13a522cde869947c9d1d8fc3edcae7958a8b659141d9d7d18a2f3df7af5cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-18T15:10:00Z",
    "title_canon_sha256": "5b320e8c4a7a3a2a49a1d1e4edea1fa3e4e8d409692c85e00c2088beb64c6e4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5171",
    "kind": "arxiv",
    "version": 2
  }
}