Pith Number

pith:4CVSWN3Y

pith:2016:4CVSWN3YL4YX3AT2OZD6PL7MAS

not attested not anchored not stored refs pending

Universally and existentially definable subsets of global fields

Kirsten Eisentraeger, Travis Morrison

arxiv:1609.09787 v3 · 2016-09-30 · math.NT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CVSWN3YL4YX3AT2OZD6PL7MAS}

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	2026-05-18T00:18:09.897337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0ab2b37785f317d827a7647e7afec04a8e159c1de15c99dd3907b618df32996

Aliases

arxiv: 1609.09787 · arxiv_version: 1609.09787v3 · doi: 10.48550/arxiv.1609.09787 · pith_short_12: 4CVSWN3YL4YX · pith_short_16: 4CVSWN3YL4YX3AT2 · pith_short_8: 4CVSWN3Y

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/4CVSWN3YL4YX3AT2OZD6PL7MAS \
  | 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: e0ab2b37785f317d827a7647e7afec04a8e159c1de15c99dd3907b618df32996

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84f3eb31d526786abbdb58e0801146b1439354ea03028109fbd61c1d36b20b64",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-30T16:05:12Z",
    "title_canon_sha256": "57b92260798111d8d41ca52ebaedba956aa8a1e42f2a18297b69446b2c1b8c76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09787",
    "kind": "arxiv",
    "version": 3
  }
}