Pith Number

pith:M6BYWC4J

pith:2011:M6BYWC4J3CQD6XBUO7VCVP6GNE

not attested not anchored not stored refs pending

Finite order spreading models

K. Tyros, S.A. Argyros, V. Kanellopoulos

arxiv:1105.2732 v1 · 2011-05-13 · 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{M6BYWC4J3CQD6XBUO7VCVP6GNE}

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	2026-05-18T04:22:09.692946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67838b0b89d8a03f5c3477ea2abfc66937537d7a9884d1a17bde79874a725749

Aliases

arxiv: 1105.2732 · arxiv_version: 1105.2732v1 · doi: 10.48550/arxiv.1105.2732 · pith_short_12: M6BYWC4J3CQD · pith_short_16: M6BYWC4J3CQD6XBU · pith_short_8: M6BYWC4J

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/M6BYWC4J3CQD6XBUO7VCVP6GNE \
  | 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: 67838b0b89d8a03f5c3477ea2abfc66937537d7a9884d1a17bde79874a725749

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bd33555432a5dbe58ef6657fc0ff4c0d37695d99d4424c5a7aedf705330c8c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-05-13T14:05:32Z",
    "title_canon_sha256": "7ba3f8f25c7b1cbf8ed222185c4ea7a2197bd85b3603828b2719c92443c108d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2732",
    "kind": "arxiv",
    "version": 1
  }
}