Pith Number

pith:PIA6UVE3

pith:2010:PIA6UVE3LBKZ4K2OCTCZYY5PXY

not attested not anchored not stored refs pending

Learning, Realizability and Games in Classical Arithmetic

Federico Aschieri

arxiv:1012.4992 v5 · 2010-12-22 · 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{PIA6UVE3LBKZ4K2OCTCZYY5PXY}

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	2026-05-18T02:23:06.584853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a01ea549b58559e2b4e14c59c63afbe0cdd39155da3d7e00f06b3bcf62b96f3

Aliases

arxiv: 1012.4992 · arxiv_version: 1012.4992v5 · doi: 10.48550/arxiv.1012.4992 · pith_short_12: PIA6UVE3LBKZ · pith_short_16: PIA6UVE3LBKZ4K2O · pith_short_8: PIA6UVE3

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/PIA6UVE3LBKZ4K2OCTCZYY5PXY \
  | 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: 7a01ea549b58559e2b4e14c59c63afbe0cdd39155da3d7e00f06b3bcf62b96f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f33a81dff3bb9fc6332bfd663f65030e8089cf8839877a2c3984c2ff66c5adf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-12-22T14:41:54Z",
    "title_canon_sha256": "18d961aec77e13291fa655fac5ebe63b36ae3f923caacc19726e30eb1bb360d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4992",
    "kind": "arxiv",
    "version": 5
  }
}