Pith Number

pith:IHJYIKOX

pith:2015:IHJYIKOX7ACR7XNXOOLRQSWI7I

not attested not anchored not stored refs pending

Compact perturbations and consequent hereditarily polaroid operators

B. P. Duggal

arxiv:1511.01408 v1 · 2015-11-04 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IHJYIKOX7ACR7XNXOOLRQSWI7I}

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	2026-05-18T01:27:47.164761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41d38429d7f8051fddb77397184ac8fa3966edd0007305626fd80d6fce0db1c4

Aliases

arxiv: 1511.01408 · arxiv_version: 1511.01408v1 · doi: 10.48550/arxiv.1511.01408 · pith_short_12: IHJYIKOX7ACR · pith_short_16: IHJYIKOX7ACR7XNX · pith_short_8: IHJYIKOX

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/IHJYIKOX7ACR7XNXOOLRQSWI7I \
  | 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: 41d38429d7f8051fddb77397184ac8fa3966edd0007305626fd80d6fce0db1c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ac46a9af6774d9a6dc1cd65a9fa09378c601244c799521ee6c0983bf2d5b1b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-11-04T17:35:52Z",
    "title_canon_sha256": "3d19dbe3d8f26e7c43aa14edc39e3061166533728c342d2a5fbd18a1a89f30d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01408",
    "kind": "arxiv",
    "version": 1
  }
}