Pith Number

pith:IGE3OPH4

pith:2006:IGE3OPH4DRBJWUF56VDXXRFFHN

not attested not anchored not stored refs pending

Curvature calculations for a class of homogeneous operators

Gadadhar Misra, Subrata Shyam Roy

arxiv:math/0612343 v1 · 2006-12-13 · math.FA · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IGE3OPH4DRBJWUF56VDXXRFFHN}

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	2026-05-18T02:57:45.362997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4189b73cfc1c429b50bdf5477bc4a53b7173f66d164d8adbd2edcd28711f7ec6

Aliases

arxiv: math/0612343 · arxiv_version: math/0612343v1 · doi: 10.48550/arxiv.math/0612343 · pith_short_12: IGE3OPH4DRBJ · pith_short_16: IGE3OPH4DRBJWUF5 · pith_short_8: IGE3OPH4

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/IGE3OPH4DRBJWUF56VDXXRFFHN \
  | 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: 4189b73cfc1c429b50bdf5477bc4a53b7173f66d164d8adbd2edcd28711f7ec6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1b3576946b73e2c5006a9ac037f0cd7677b66e8f6a14a48c1b00107c81976d5",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2006-12-13T05:38:43Z",
    "title_canon_sha256": "a15fe8f42a245c26b28b81c0e404cb462a2288492c867cbd758202b95e59c103"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612343",
    "kind": "arxiv",
    "version": 1
  }
}