Pith Number

pith:DOOP5B36

pith:2013:DOOP5B36UNXRG2XWVLKSZ6GC6A

not attested not anchored not stored refs pending

A fundamental dichotomy for definably complete expansions of ordered fields

Antongiulio Fornasiero, Philipp Hieronymi

arxiv:1305.4767 v2 · 2013-05-21 · 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{DOOP5B36UNXRG2XWVLKSZ6GC6A}

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	2026-05-18T01:22:49.083070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b9cfe877ea36f136af6aad52cf8c2f03a671f33e20f13587557d3b8ab5b65fa

Aliases

arxiv: 1305.4767 · arxiv_version: 1305.4767v2 · doi: 10.48550/arxiv.1305.4767 · pith_short_12: DOOP5B36UNXR · pith_short_16: DOOP5B36UNXRG2XW · pith_short_8: DOOP5B36

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/DOOP5B36UNXRG2XWVLKSZ6GC6A \
  | 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: 1b9cfe877ea36f136af6aad52cf8c2f03a671f33e20f13587557d3b8ab5b65fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edc056d16cbba4d408c82ba63d65dc302d447428825c2ac214cba15fe64671f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-05-21T09:22:26Z",
    "title_canon_sha256": "1245f2ba510442eb1feecdbae801cd18bcb5ed165d583fe21ebbe2db491c9fc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4767",
    "kind": "arxiv",
    "version": 2
  }
}