Pith Number

pith:BXR4I5OP

pith:2015:BXR4I5OPL2M6ALCZVWSBA5BR6A

not attested not anchored not stored refs pending

Metric dimensions and tameness in expansions of the real field

Chris Miller, Philipp Hieronymi

arxiv:1510.00964 v2 · 2015-10-04 · math.LO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BXR4I5OPL2M6ALCZVWSBA5BR6A}

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	2026-05-18T00:47:43.242736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0de3c475cf5e99e02c59ada4107431f02c3b6f0a8880149659bbb13524f82347

Aliases

arxiv: 1510.00964 · arxiv_version: 1510.00964v2 · doi: 10.48550/arxiv.1510.00964 · pith_short_12: BXR4I5OPL2M6 · pith_short_16: BXR4I5OPL2M6ALCZ · pith_short_8: BXR4I5OP

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/BXR4I5OPL2M6ALCZVWSBA5BR6A \
  | 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: 0de3c475cf5e99e02c59ada4107431f02c3b6f0a8880149659bbb13524f82347

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "503e63a8299b955d7a59cf065b50f96b06846279b781097df0fdb81e1c7fc428",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-10-04T18:20:40Z",
    "title_canon_sha256": "a86ac364fc1ca5c56538b9d16e46ddb01afd02717fe1d44d5a95fcb58d1da3b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00964",
    "kind": "arxiv",
    "version": 2
  }
}