Pith Number

pith:QJWTMHME

pith:2005:QJWTMHMEH7B3VLFGRJB62M5GBX

not attested not anchored not stored refs pending

p-Fractals and power series--II. Some applications to Hilbert-Kunz theory

Paul Monsky, Pedro Teixeira

arxiv:math/0506584 v2 · 2005-06-29 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QJWTMHMEH7B3VLFGRJB62M5GBX}

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	2026-05-18T01:05:23.351929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

826d361d843fc3baaca68a43ed33a60de5e4d817507020165f61a2d5fd79ec43

Aliases

arxiv: math/0506584 · arxiv_version: math/0506584v2 · doi: 10.48550/arxiv.math/0506584 · pith_short_12: QJWTMHMEH7B3 · pith_short_16: QJWTMHMEH7B3VLFG · pith_short_8: QJWTMHME

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/QJWTMHMEH7B3VLFGRJB62M5GBX \
  | 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: 826d361d843fc3baaca68a43ed33a60de5e4d817507020165f61a2d5fd79ec43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf2c12bbf43bf53642fce322dc0ef2b6c554645efc2e78149476dcffc4b9ee6d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2005-06-29T06:16:19Z",
    "title_canon_sha256": "911c6e58b301ae611e0c234ecb6f32fa31271b6fb650312c2a3a041f7e745dbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506584",
    "kind": "arxiv",
    "version": 2
  }
}