Pith Number

pith:76EBI63A

pith:2011:76EBI63ALE3EDFANFZB7R6ZUND

not attested not anchored not stored refs pending

Balanced metrics on homogeneous vector bundles

Roberto Mossa

arxiv:1101.3078 v1 · 2011-01-16 · math.AG · 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{76EBI63ALE3EDFANFZB7R6ZUND}

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	2026-05-18T02:03:39.500733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff88147b60593641940d2e43f8fb3468e03d892ca82caf8823a8c1e6801a66b8

Aliases

arxiv: 1101.3078 · arxiv_version: 1101.3078v1 · doi: 10.48550/arxiv.1101.3078 · pith_short_12: 76EBI63ALE3E · pith_short_16: 76EBI63ALE3EDFAN · pith_short_8: 76EBI63A

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/76EBI63ALE3EDFANFZB7R6ZUND \
  | 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: ff88147b60593641940d2e43f8fb3468e03d892ca82caf8823a8c1e6801a66b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cfd3295033a64e5820269683bd0195febcea57842ea2b44a1d283e325a12e35",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-16T16:38:14Z",
    "title_canon_sha256": "edd925071ef752b7ec09f96bbc76615d633439ec134eb97f2756f9c305a7726a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3078",
    "kind": "arxiv",
    "version": 1
  }
}