Pith Number

pith:5U4CL4VX

pith:2012:5U4CL4VXEMDAEETOYN7B3GRS6X

not attested not anchored not stored refs pending

Bundles of rank 3 on curves of Clifford index 3

H. Lange, P. E. Newstead

arxiv:1211.6710 v2 · 2012-11-28 · 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{5U4CL4VXEMDAEETOYN7B3GRS6X}

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	2026-05-18T03:00:39.715113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed3825f2b7230602126ec37e1d9a32f5eb16119264e6d214940a1f4ebb91126e

Aliases

arxiv: 1211.6710 · arxiv_version: 1211.6710v2 · doi: 10.48550/arxiv.1211.6710 · pith_short_12: 5U4CL4VXEMDA · pith_short_16: 5U4CL4VXEMDAEETO · pith_short_8: 5U4CL4VX

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/5U4CL4VXEMDAEETOYN7B3GRS6X \
  | 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: ed3825f2b7230602126ec37e1d9a32f5eb16119264e6d214940a1f4ebb91126e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40358a5c8dc4359935e96201bb2d350ba8afb228193a0dab909b07f5aebb76d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-28T19:15:33Z",
    "title_canon_sha256": "261902a96dae83407c55f94997ac86087fa6e2ddf6a40441524114eb93384dd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6710",
    "kind": "arxiv",
    "version": 2
  }
}