Pith Number

pith:QTJLNDIB

pith:2005:QTJLNDIBXFDAMWWVPS2GO6SPZT

not attested not anchored not stored refs pending

Numerical index and duality

Dirk Werner, Konstantin Boyko, Miguel Martin, Vladimir Kadets

arxiv:math/0509374 v1 · 2005-09-16 · 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{QTJLNDIBXFDAMWWVPS2GO6SPZT}

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	2026-05-18T01:38:24.859411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84d2b68d01b946065ad57cb4677a4fcce27628fedcc2edfd8fbcea4745965f92

Aliases

arxiv: math/0509374 · arxiv_version: math/0509374v1 · doi: 10.48550/arxiv.math/0509374 · pith_short_12: QTJLNDIBXFDA · pith_short_16: QTJLNDIBXFDAMWWV · pith_short_8: QTJLNDIB

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/QTJLNDIBXFDAMWWVPS2GO6SPZT \
  | 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: 84d2b68d01b946065ad57cb4677a4fcce27628fedcc2edfd8fbcea4745965f92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ff6b3be5357b170d5b7ad2ac0ad24ee4c19d539d66606b188f7a2b32074b18b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2005-09-16T12:08:29Z",
    "title_canon_sha256": "7467c4f43410b7476eb714fc5f2f66c19025a4f58f70ba5ab877f6af31ff5709"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509374",
    "kind": "arxiv",
    "version": 1
  }
}