Pith Number

pith:GP2AJKZP

pith:2010:GP2AJKZPHEGVWSVWI4LMIYQ7C4

not attested not anchored not stored refs pending

Quantum folding

Arkady Berenstein, Jacob Greenstein

arxiv:1007.4357 v3 · 2010-07-25 · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GP2AJKZPHEGVWSVWI4LMIYQ7C4}

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	2026-05-18T03:46:18.738362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33f404ab2f390d5b4ab64716c4621f1735c18fed70ab9123d9d1da6caf74ad5b

Aliases

arxiv: 1007.4357 · arxiv_version: 1007.4357v3 · doi: 10.48550/arxiv.1007.4357 · pith_short_12: GP2AJKZPHEGV · pith_short_16: GP2AJKZPHEGVWSVW · pith_short_8: GP2AJKZP

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/GP2AJKZPHEGVWSVWI4LMIYQ7C4 \
  | 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: 33f404ab2f390d5b4ab64716c4621f1735c18fed70ab9123d9d1da6caf74ad5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38bce9461f68f2bb19405991b939159c54d5834430d8b8819c926578245f8f74",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-07-25T22:57:24Z",
    "title_canon_sha256": "4fd869375ba1cc433168891fea5f080591464c559f9b807459f1d5b4104136f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4357",
    "kind": "arxiv",
    "version": 3
  }
}