Pith Number

pith:J6KHNNQR

pith:2010:J6KHNNQRF5QXQ4ADEFC7R2OBG6

not attested not anchored not stored refs pending

Defining Integers

Alexandra Shlapentokh

arxiv:1008.0809 v1 · 2010-08-04 · math.LO · 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{J6KHNNQRF5QXQ4ADEFC7R2OBG6}

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	2026-05-18T04:42:35.597882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f9476b6112f617870032145f8e9c137a5b69bf7280b48db39c2733abd809a1d

Aliases

arxiv: 1008.0809 · arxiv_version: 1008.0809v1 · doi: 10.48550/arxiv.1008.0809 · pith_short_12: J6KHNNQRF5QX · pith_short_16: J6KHNNQRF5QXQ4AD · pith_short_8: J6KHNNQR

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/J6KHNNQRF5QXQ4ADEFC7R2OBG6 \
  | 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: 4f9476b6112f617870032145f8e9c137a5b69bf7280b48db39c2733abd809a1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcada235d38de6b678d97a9c3381c5c28a0bcd05a8de3191ad1cee9552b77b7d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-08-04T16:08:11Z",
    "title_canon_sha256": "738cd990d306b7a4f98e4efb9bcde457bb62b05a7fae2a2423a85a760368f872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0809",
    "kind": "arxiv",
    "version": 1
  }
}