Pith Number

pith:RIH7B6X4

pith:2012:RIH7B6X4AN25L7YZZWKTQKSLYE

not attested not anchored not stored refs pending

Reverse Mathematics and Algebraic Field Extensions

Fran\c{c}ois G. Dorais, Jeffry Hirst, Paul Shafer

arxiv:1209.4944 v2 · 2012-09-22 · 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{RIH7B6X4AN25L7YZZWKTQKSLYE}

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.

Cited by

1 paper in Pith

Lifting countable to uncountable mathematics

Receipt and verification

First computed	2026-05-18T03:26:08.784216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a0ff0fafc0375d5ff19cd95382a4bc13c1b1c22e310908e8ae7c1740b319c60

Aliases

arxiv: 1209.4944 · arxiv_version: 1209.4944v2 · doi: 10.48550/arxiv.1209.4944 · pith_short_12: RIH7B6X4AN25 · pith_short_16: RIH7B6X4AN25L7YZ · pith_short_8: RIH7B6X4

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/RIH7B6X4AN25L7YZZWKTQKSLYE \
  | 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: 8a0ff0fafc0375d5ff19cd95382a4bc13c1b1c22e310908e8ae7c1740b319c60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ac75902fbe8f74834e9eb2ed38356823e81084c05074d2015a4529b9536cd68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-09-22T00:19:53Z",
    "title_canon_sha256": "9d11f6eb32141fd2ff7b7a74e45197becd5a126e8270ff73b141fbdb4ef252b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4944",
    "kind": "arxiv",
    "version": 2
  }
}