Pith Number

pith:VCMSWCFC

pith:2013:VCMSWCFCVQGKVLSRQZTL2U5PMD

not attested not anchored not stored refs pending

Further results on regular Fredholm pairs and chains

Enrico Boasso

arxiv:1309.3146 v1 · 2013-09-12 · 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{VCMSWCFCVQGKVLSRQZTL2U5PMD}

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	2026-05-18T03:13:32.714466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8992b08a2ac0caaae518666bd53af60e771b30c504e4de468788a675b5d6877

Aliases

arxiv: 1309.3146 · arxiv_version: 1309.3146v1 · doi: 10.48550/arxiv.1309.3146 · pith_short_12: VCMSWCFCVQGK · pith_short_16: VCMSWCFCVQGKVLSR · pith_short_8: VCMSWCFC

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/VCMSWCFCVQGKVLSRQZTL2U5PMD \
  | 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: a8992b08a2ac0caaae518666bd53af60e771b30c504e4de468788a675b5d6877

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8e01b82c611b2a31d1e26c47d1bd85a72e3569775d4778ad34b6333a07bfd19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-12T13:09:06Z",
    "title_canon_sha256": "1a391ab69ec179d272fe7680510ae992328491b34550b46cc79328d2593086d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3146",
    "kind": "arxiv",
    "version": 1
  }
}