Pith Number

pith:OOL222PV

pith:2012:OOL222PVFJIGOC4CSPMJQHDXCV

not attested not anchored not stored refs pending

Heights and totally real numbers

Lukas Pottmeyer

arxiv:1206.2456 v2 · 2012-06-12 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OOL222PVFJIGOC4CSPMJQHDXCV}

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	2026-05-18T03:07:02.217925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7397ad69f52a50670b8293d8981c77157be21f84c05bc73c15b8a379fb54b737

Aliases

arxiv: 1206.2456 · arxiv_version: 1206.2456v2 · doi: 10.48550/arxiv.1206.2456 · pith_short_12: OOL222PVFJIG · pith_short_16: OOL222PVFJIGOC4C · pith_short_8: OOL222PV

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/OOL222PVFJIGOC4CSPMJQHDXCV \
  | 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: 7397ad69f52a50670b8293d8981c77157be21f84c05bc73c15b8a379fb54b737

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58ea9e3c6662d3e319131730e342790adc0723010dabd1d12baf8738409aff55",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-12T08:27:50Z",
    "title_canon_sha256": "8261a923667e8af2e2014ff01195ffb372f49d125f2d2f6934b3cf0d335b43bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2456",
    "kind": "arxiv",
    "version": 2
  }
}