Pith Number

pith:PHQ3TVDN

pith:2011:PHQ3TVDNZOG3YZUFFKBWTUNS2S

not attested not anchored not stored refs pending

Vector bundles of rank four and A_3 = D_3

Asher Auel

arxiv:1107.2466 v2 · 2011-07-13 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHQ3TVDNZOG3YZUFFKBWTUNS2S}

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	2026-05-18T03:50:35.590297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79e1b9d46dcb8dbc66852a8369d1b2d4a316840bcc7a45ec8af4f9a4123a35b5

Aliases

arxiv: 1107.2466 · arxiv_version: 1107.2466v2 · doi: 10.48550/arxiv.1107.2466 · pith_short_12: PHQ3TVDNZOG3 · pith_short_16: PHQ3TVDNZOG3YZUF · pith_short_8: PHQ3TVDN

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/PHQ3TVDNZOG3YZUFFKBWTUNS2S \
  | 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: 79e1b9d46dcb8dbc66852a8369d1b2d4a316840bcc7a45ec8af4f9a4123a35b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83743135373637f817a0976ee72e207934d1308f77339592433528643906dfff",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-13T05:39:19Z",
    "title_canon_sha256": "d95177391df5ae1a8f9c8cae44c6e078e473123fe4ebe8723f139a43150430a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2466",
    "kind": "arxiv",
    "version": 2
  }
}