Pith Number

pith:MGIKHWEE

pith:2010:MGIKHWEEJGSNKQYBSK7XLGIJ3G

not attested not anchored not stored refs pending

Determinant line bundle on moduli space of parabolic bundles

Indranil Biswas

arxiv:1012.4551 v1 · 2010-12-21 · 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{MGIKHWEEJGSNKQYBSK7XLGIJ3G}

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	2026-05-18T04:32:54.127415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6190a3d88449a4d5430192bf759909d99b5ebb62622009d703c43b8b6a7d8ac2

Aliases

arxiv: 1012.4551 · arxiv_version: 1012.4551v1 · doi: 10.48550/arxiv.1012.4551 · pith_short_12: MGIKHWEEJGSN · pith_short_16: MGIKHWEEJGSNKQYB · pith_short_8: MGIKHWEE

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/MGIKHWEEJGSNKQYBSK7XLGIJ3G \
  | 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: 6190a3d88449a4d5430192bf759909d99b5ebb62622009d703c43b8b6a7d8ac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b310dc18322753326f372d91b144a529722ce1a4a08e7314e259b1928221d0ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-21T06:07:24Z",
    "title_canon_sha256": "9ca5ac56518248296a42bd90db54e0179fe7bb2423049a212c6bd3a5e3bf10e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4551",
    "kind": "arxiv",
    "version": 1
  }
}