Pith Number

pith:D2U7MQWN

pith:2014:D2U7MQWNNVXLEAFUUVWD5COKLN

not attested not anchored not stored refs pending

The image of Carmichael's $\lambda$-function

Carl Pomerance, Florian Luca, Kevin Ford

arxiv:1408.6506 v2 · 2014-08-27 · 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{D2U7MQWNNVXLEAFUUVWD5COKLN}

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	2026-05-18T01:22:21.825660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ea9f642cd6d6eb200b4a56c3e89ca5b6e92fa3620967d41ccc2b1ce24b037ab

Aliases

arxiv: 1408.6506 · arxiv_version: 1408.6506v2 · doi: 10.48550/arxiv.1408.6506 · pith_short_12: D2U7MQWNNVXL · pith_short_16: D2U7MQWNNVXLEAFU · pith_short_8: D2U7MQWN

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/D2U7MQWNNVXLEAFUUVWD5COKLN \
  | 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: 1ea9f642cd6d6eb200b4a56c3e89ca5b6e92fa3620967d41ccc2b1ce24b037ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4955bf972a6e1f41450b924089327e0919a4945f673e6d593106e1fe06b775a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-27T19:40:49Z",
    "title_canon_sha256": "b15877adbb5198d98765416ecda94ff42efb5552e7ace3812f8d786a08189358"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6506",
    "kind": "arxiv",
    "version": 2
  }
}