Pith Number

pith:S5XEN3TZ

pith:2018:S5XEN3TZEMSEMGLEPGTHIQ2ZSJ

not attested not anchored not stored refs pending

Universal entire functions that define order isomorphisms of countable real sets

Paul M. Gauthier

arxiv:1807.02770 v2 · 2018-07-08 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S5XEN3TZEMSEMGLEPGTHIQ2ZSJ}

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	2026-05-17T23:57:31.686357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

976e46ee79232446196479a67443599254493452680e5e0c9771d4258867fd62

Aliases

arxiv: 1807.02770 · arxiv_version: 1807.02770v2 · doi: 10.48550/arxiv.1807.02770 · pith_short_12: S5XEN3TZEMSE · pith_short_16: S5XEN3TZEMSEMGLE · pith_short_8: S5XEN3TZ

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/S5XEN3TZEMSEMGLEPGTHIQ2ZSJ \
  | 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: 976e46ee79232446196479a67443599254493452680e5e0c9771d4258867fd62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd2471a2617e143d7a05bd749d21704ba95bf1fb0bfc5c16601eb2285b4ab40b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-07-08T07:21:12Z",
    "title_canon_sha256": "d41d5a060efbf9cac2c06d92aa7e2698c6ccc254db528423bf070a75f58c8f4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02770",
    "kind": "arxiv",
    "version": 2
  }
}