Pith Number

pith:KVCL45PD

pith:2014:KVCL45PD6YXT7BQGWDUONHG7FY

not attested not anchored not stored refs pending

On the Gieseker Harder-Narasimhan filtration for principal bundles

Alfonso Zamora, Indranil Biswas

arxiv:1411.2884 v1 · 2014-11-11 · 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{KVCL45PD6YXT7BQGWDUONHG7FY}

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	2026-05-18T00:40:42.034490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5544be75e3f62f3f8606b0e8e69cdf2e1038e6ab370ceaff40a3e7c638fe3bba

Aliases

arxiv: 1411.2884 · arxiv_version: 1411.2884v1 · doi: 10.48550/arxiv.1411.2884 · pith_short_12: KVCL45PD6YXT · pith_short_16: KVCL45PD6YXT7BQG · pith_short_8: KVCL45PD

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/KVCL45PD6YXT7BQGWDUONHG7FY \
  | 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: 5544be75e3f62f3f8606b0e8e69cdf2e1038e6ab370ceaff40a3e7c638fe3bba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c8ead2c5bb5dc024cfe487e0921d5eb8015c0ba29cb6f15322e0781062d5930",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-11-11T16:43:50Z",
    "title_canon_sha256": "7105a2a8e8bfe1890b8b5c97aab00b530b3c1f7cf4666b3625dd37d07a5e1205"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2884",
    "kind": "arxiv",
    "version": 1
  }
}