Pith Number

pith:77E4RZME

pith:2017:77E4RZMEXROQBTIRJTWUQPV6RR

not attested not anchored not stored refs pending

Counting algebraic points in expansions of o-minimal structures by a dense set

Pantelis E. Eleftheriou

arxiv:1708.03936 v3 · 2017-08-13 · 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{77E4RZMEXROQBTIRJTWUQPV6RR}

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	2026-05-18T00:17:19.216741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffc9c8e584bc5d00cd114ced483ebe8c57885b7d011132ad055c06e321ff6cca

Aliases

arxiv: 1708.03936 · arxiv_version: 1708.03936v3 · doi: 10.48550/arxiv.1708.03936 · pith_short_12: 77E4RZMEXROQ · pith_short_16: 77E4RZMEXROQBTIR · pith_short_8: 77E4RZME

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/77E4RZMEXROQBTIRJTWUQPV6RR \
  | 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: ffc9c8e584bc5d00cd114ced483ebe8c57885b7d011132ad055c06e321ff6cca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "567c66a566db0d3507bb1ae103c5b1b21a36e711b9c5f26dca314d93c6ff9e2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-08-13T17:17:03Z",
    "title_canon_sha256": "57737b18d59149f58afbae4b7e179296579c45309cbe8d0cae2ad2fca6a29462"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03936",
    "kind": "arxiv",
    "version": 3
  }
}