Pith Number

pith:JHSEPYFT

pith:2010:JHSEPYFTGAWDTOCGUS4MEX6U2Y

not attested not anchored not stored refs pending

The number of solutions of lambda(x)=n

Florian Luca, Kevin Ford

arxiv:1010.5442 v2 · 2010-10-26 · 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{JHSEPYFTGAWDTOCGUS4MEX6U2Y}

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	2026-05-18T02:55:57.779151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49e447e0b3302c39b846a4b8c25fd4d6133be7f38293a26f83a71b8446fe39c3

Aliases

arxiv: 1010.5442 · arxiv_version: 1010.5442v2 · doi: 10.48550/arxiv.1010.5442 · pith_short_12: JHSEPYFTGAWD · pith_short_16: JHSEPYFTGAWDTOCG · pith_short_8: JHSEPYFT

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/JHSEPYFTGAWDTOCGUS4MEX6U2Y \
  | 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: 49e447e0b3302c39b846a4b8c25fd4d6133be7f38293a26f83a71b8446fe39c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7903478569718fd019c1867a52149e2e62b89ffb1deffd86657f79aeb9578a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-10-26T16:09:28Z",
    "title_canon_sha256": "2578e71e303ebc826e7bcfeb0af9108ef6aabd979080fb0bb0d5fbda83d9bd0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5442",
    "kind": "arxiv",
    "version": 2
  }
}