Pith Number

pith:UOVCKGUJ

pith:2016:UOVCKGUJ3RR26DGZ6FKSSQJTLZ

not attested not anchored not stored refs pending

Fixed Points of Augmented Generalized Happy Functions

Breeanne Baker Swart, Christina Eubanks-Turner, Helen G. Grundman, Kristen A. Beck, Laurie Zack, May Mei, Susan Crook

arxiv:1611.02983 v1 · 2016-11-09 · 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{UOVCKGUJ3RR26DGZ6FKSSQJTLZ}

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	2026-05-18T00:59:42.924644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3aa251a89dc63af0cd9f1552941335e559fe0f96ef078314c0c9cb7664fb1de

Aliases

arxiv: 1611.02983 · arxiv_version: 1611.02983v1 · doi: 10.48550/arxiv.1611.02983 · pith_short_12: UOVCKGUJ3RR2 · pith_short_16: UOVCKGUJ3RR26DGZ · pith_short_8: UOVCKGUJ

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/UOVCKGUJ3RR26DGZ6FKSSQJTLZ \
  | 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: a3aa251a89dc63af0cd9f1552941335e559fe0f96ef078314c0c9cb7664fb1de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "431f358141a604ad2866df7cc19e59285cfd9575adc484a0e155fa8f49c1cdac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-09T15:40:04Z",
    "title_canon_sha256": "897f6b5e65b84b42c5f2b42d8e6b893e70c8274b4bf65d2825393a9be4af0d8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02983",
    "kind": "arxiv",
    "version": 1
  }
}