Pith Number

pith:OJWO7YC6

pith:2019:OJWO7YC63EV55JUHUK54BLWYLI

not attested not anchored not stored refs pending

Fixed Points of Augmented Generalized Happy Functions II: Oases and Mirages

Breeanne Baker Swart, Helen G. Grundman, Laura Hall-Seelig, Laurie Zack, May Mei, Susan Crook

arxiv:1908.02194 v1 · 2019-08-06 · 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{OJWO7YC63EV55JUHUK54BLWYLI}

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	2026-07-04T23:51:51.926709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

726cefe05ed92bdea687a2bbc0aed85a021536f64b52548ff84f151f26126453

Aliases

arxiv: 1908.02194 · arxiv_version: 1908.02194v1 · doi: 10.48550/arxiv.1908.02194 · pith_short_12: OJWO7YC63EV5 · pith_short_16: OJWO7YC63EV55JUH · pith_short_8: OJWO7YC6

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/OJWO7YC63EV55JUHUK54BLWYLI \
  | 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: 726cefe05ed92bdea687a2bbc0aed85a021536f64b52548ff84f151f26126453

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fec05cf7567aff5b377465e7e909d1381ac7459a2fae141458345aa14c4361d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-06T14:59:31Z",
    "title_canon_sha256": "32164ba658b01a167d8431aa003733c351cb77f46c2027069976299894059fd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02194",
    "kind": "arxiv",
    "version": 1
  }
}