Pith Number

pith:RFEEUIFR

pith:2012:RFEEUIFRP6P5WUNT4ZCTU64Q27

not attested not anchored not stored refs pending

The Essential Dimension of Stacks of Parabolic Vector Bundles over Curves

Ajneet Dhillon, Indranil Biswas, Nicole Lemire

arxiv:1205.5160 v1 · 2012-05-23 · 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{RFEEUIFRP6P5WUNT4ZCTU64Q27}

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	2026-05-18T03:55:02.084130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89484a20b17f9fdb51b3e6453a7b90d7f0285d424e3417d2af5a408c152f0048

Aliases

arxiv: 1205.5160 · arxiv_version: 1205.5160v1 · doi: 10.48550/arxiv.1205.5160 · pith_short_12: RFEEUIFRP6P5 · pith_short_16: RFEEUIFRP6P5WUNT · pith_short_8: RFEEUIFR

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/RFEEUIFRP6P5WUNT4ZCTU64Q27 \
  | 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: 89484a20b17f9fdb51b3e6453a7b90d7f0285d424e3417d2af5a408c152f0048

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47315e253afbf4a036221566b96c0bb52758aa5906dfeb4df3bda0bde97be368",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-05-23T11:59:14Z",
    "title_canon_sha256": "63740606319ab9b5673676f1c6634db8215cd8c4d11bfc33d35455c46c42da82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5160",
    "kind": "arxiv",
    "version": 1
  }
}