Pith Number

pith:H4Y2PVPH

pith:2012:H4Y2PVPH4DUPQ3Z2SQATW5JTNO

not attested not anchored not stored refs pending

Moduli spaces of vector bundles over a real curve: Z/2-Betti numbers

Thomas Baird

arxiv:1207.4960 v2 · 2012-07-20 · math.SG · math.AG · math.AT · 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{H4Y2PVPH4DUPQ3Z2SQATW5JTNO}

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	2026-05-18T02:03:45.540874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f31a7d5e7e0e8f86f3a94013b75336b98782f4dcf96d94f923989905813811f

Aliases

arxiv: 1207.4960 · arxiv_version: 1207.4960v2 · doi: 10.48550/arxiv.1207.4960 · pith_short_12: H4Y2PVPH4DUP · pith_short_16: H4Y2PVPH4DUPQ3Z2 · pith_short_8: H4Y2PVPH

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/H4Y2PVPH4DUPQ3Z2SQATW5JTNO \
  | 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: 3f31a7d5e7e0e8f86f3a94013b75336b98782f4dcf96d94f923989905813811f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "488f0940e3f9de827945b7a844ed8d15cc7ccef02c5d8246bcb8313a50b279dc",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-07-20T14:20:27Z",
    "title_canon_sha256": "fd50ea05f85081f50e4f591c02ed1e48459f0d329ef91ea65d9852c5dc0fc931"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4960",
    "kind": "arxiv",
    "version": 2
  }
}