Pith Number

pith:QFXHTTFL

pith:2007:QFXHTTFL2LMLFT6SEYZ6XAUCWD

not attested not anchored not stored refs pending

Low regularity classes and entropy numbers

Andreas Seeger, Walter Trebels

arxiv:math/0703067 v1 · 2007-03-02 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QFXHTTFL2LMLFT6SEYZ6XAUCWD}

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	2026-07-04T17:23:15.576633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

816e79ccabd2d8b2cfd22633eb8282b0ee23bcabde255df0746bad6ea657f829

Aliases

arxiv: math/0703067 · arxiv_version: math/0703067v1 · doi: 10.48550/arxiv.math/0703067 · pith_short_12: QFXHTTFL2LML · pith_short_16: QFXHTTFL2LMLFT6S · pith_short_8: QFXHTTFL

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/QFXHTTFL2LMLFT6SEYZ6XAUCWD \
  | 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: 816e79ccabd2d8b2cfd22633eb8282b0ee23bcabde255df0746bad6ea657f829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "619755486e2f9ae4bd2492fb2bd885a5a0f6390388fa23207ff091f5adb7ca88",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2007-03-02T19:21:10Z",
    "title_canon_sha256": "55395b077f4f608039df2201da4dc01ba34b2a1ad323b520b83f27282bb583a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703067",
    "kind": "arxiv",
    "version": 1
  }
}