Pith Number

pith:JR5UX4CM

pith:2019:JR5UX4CMWBXGGUXNPJHRUOSI7S

not attested not anchored not stored refs pending

Picard groups and the K-theory of curves with cuspidal singularities

Vigleik Angeltveit

arxiv:1901.00264 v1 · 2019-01-02 · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JR5UX4CMWBXGGUXNPJHRUOSI7S}

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	2026-05-17T23:57:06.541181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c7b4bf04cb06e6352ed7a4f1a3a48fcb98c8f0ded94df575131e47256cbc8aa

Aliases

arxiv: 1901.00264 · arxiv_version: 1901.00264v1 · doi: 10.48550/arxiv.1901.00264 · pith_short_12: JR5UX4CMWBXG · pith_short_16: JR5UX4CMWBXGGUXN · pith_short_8: JR5UX4CM

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/JR5UX4CMWBXGGUXNPJHRUOSI7S \
  | 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: 4c7b4bf04cb06e6352ed7a4f1a3a48fcb98c8f0ded94df575131e47256cbc8aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbd64c5a9a593a6f1014c8941f0e683f5e32cbca64636c650bcec0625d2bcddf",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-01-02T04:57:45Z",
    "title_canon_sha256": "3d7a28e68ade0166c990b68655a7bb0113f7ac44fc873a251770f44a6a3f452b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00264",
    "kind": "arxiv",
    "version": 1
  }
}