Pith Number

pith:2KDW63QE

pith:2010:2KDW63QEZEYVK4RMPD4AYPEU3V

not attested not anchored not stored refs pending

Fourier integral operators, fractal sets and the regular value theorem

Alex Iosevich, Krystal Taylor, Suresh Eswarathasan

arxiv:1011.5939 v2 · 2010-11-26 · math.CA · math.AP · math.CO · math.MG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KDW63QEZEYVK4RMPD4AYPEU3V}

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	2026-05-18T04:23:35.049858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2876f6e04c93155722c78f80c3c94dd6871af023b624739aa586cdeeb0ef5ab

Aliases

arxiv: 1011.5939 · arxiv_version: 1011.5939v2 · doi: 10.48550/arxiv.1011.5939 · pith_short_12: 2KDW63QEZEYV · pith_short_16: 2KDW63QEZEYVK4RM · pith_short_8: 2KDW63QE

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/2KDW63QEZEYVK4RMPD4AYPEU3V \
  | 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: d2876f6e04c93155722c78f80c3c94dd6871af023b624739aa586cdeeb0ef5ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a709bbd23dbd9b073ca1fa5212caff568dc50d9c1d1194760fac18ea3c272d91",
    "cross_cats_sorted": [
      "math.AP",
      "math.CO",
      "math.MG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-11-26T23:37:27Z",
    "title_canon_sha256": "c9f49bac35ec2f13f96e989b76e0cc3aaa4e63ecbdd9b2c41ad6c8967a395750"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5939",
    "kind": "arxiv",
    "version": 2
  }
}