Pith Number

pith:PIXPOV33

pith:2011:PIXPOV333AI4ZJHJWZGWOAPFZA

not attested not anchored not stored refs pending

Every transformation is disjoint from almost every non-classical exchange

Jon Chaika, Vaibhav Gadre

arxiv:1110.2474 v3 · 2011-10-11 · math.GT · 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{PIXPOV333AI4ZJHJWZGWOAPFZA}

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	2026-05-18T03:10:24.630057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a2ef7577bd811cca4e9b64d6701e5c8377c13e632fb4801a8139186472e416c

Aliases

arxiv: 1110.2474 · arxiv_version: 1110.2474v3 · doi: 10.48550/arxiv.1110.2474 · pith_short_12: PIXPOV333AI4 · pith_short_16: PIXPOV333AI4ZJHJ · pith_short_8: PIXPOV33

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/PIXPOV333AI4ZJHJWZGWOAPFZA \
  | 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: 7a2ef7577bd811cca4e9b64d6701e5c8377c13e632fb4801a8139186472e416c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5f40624a8363e1fc5e327ebbf4e081050d6410ecde004116988f2fde69397fe",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-11T19:40:49Z",
    "title_canon_sha256": "e913e9d4c820a73faefa011e0828c6bce434194440dde6e2d8651d01bf9b752c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2474",
    "kind": "arxiv",
    "version": 3
  }
}