Pith Number

pith:NZB34Y3Z

pith:2014:NZB34Y3ZDOT3CU6YDKVVM2TNJN

not attested not anchored not stored refs pending

Expansions of the ordered additive group of real numbers by two discrete subgroups

Philipp Hieronymi

arxiv:1407.7002 v2 · 2014-07-25 · 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{NZB34Y3ZDOT3CU6YDKVVM2TNJN}

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	2026-05-18T00:46:04.772007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e43be63791ba7b153d81aab566a6d4b695e80be04bbfc5ba494d82c7bd1e91b

Aliases

arxiv: 1407.7002 · arxiv_version: 1407.7002v2 · doi: 10.48550/arxiv.1407.7002 · pith_short_12: NZB34Y3ZDOT3 · pith_short_16: NZB34Y3ZDOT3CU6Y · pith_short_8: NZB34Y3Z

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/NZB34Y3ZDOT3CU6YDKVVM2TNJN \
  | 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: 6e43be63791ba7b153d81aab566a6d4b695e80be04bbfc5ba494d82c7bd1e91b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "036350382afcb8b989c7b8f06e880183426a37bd56e2b90c52e938b01ceb2192",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-07-25T18:41:22Z",
    "title_canon_sha256": "07d6de8e6095be89e5831fbeb48264a4130157ce1d2831e0f84bace2347a3c04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7002",
    "kind": "arxiv",
    "version": 2
  }
}