Pith Number

pith:54L4NCVO

pith:2016:54L4NCVOZ7TG3YAFPQ7OMHEQI3

not attested not anchored not stored refs pending

Algebraic independence of $G$-functions and congruences "\`a la Lucas"

B Adamczewski (ICJ), E Delaygue, Jason P. Bell

arxiv:1603.04187 v1 · 2016-03-14 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{54L4NCVOZ7TG3YAFPQ7OMHEQI3}

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	2026-05-18T01:19:09.160637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef17c68aaecfe66de0057c3ee61c9046ee4b82ee7ecae4c91fd214cfd141a42b

Aliases

arxiv: 1603.04187 · arxiv_version: 1603.04187v1 · doi: 10.48550/arxiv.1603.04187 · pith_short_12: 54L4NCVOZ7TG · pith_short_16: 54L4NCVOZ7TG3YAF · pith_short_8: 54L4NCVO

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/54L4NCVOZ7TG3YAFPQ7OMHEQI3 \
  | 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: ef17c68aaecfe66de0057c3ee61c9046ee4b82ee7ecae4c91fd214cfd141a42b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "730400fae618bd9ca097acf5ca99546f6241f60b3980c61e2318fe493eb425ad",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-14T10:20:28Z",
    "title_canon_sha256": "0f6c45fd8700a7de7ee4100dedb4415bbbd34c9b85fd3a9a7da47675eb41788b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04187",
    "kind": "arxiv",
    "version": 1
  }
}