Pith Number

pith:SBG3BR4H

pith:2010:SBG3BR4HBVEVPKBB54GZB2EA4A

not attested not anchored not stored refs pending

Approximating Turaev-Viro 3-manifold invariants is universal for quantum computation

Ben W. Reichardt, Gorjan Alagic, Robert Koenig, Stephen P. Jordan

arxiv:1003.0923 v1 · 2010-03-03 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SBG3BR4HBVEVPKBB54GZB2EA4A}

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	2026-05-18T04:39:18.274178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

904db0c7870d4957a821ef0d90e880e005408f6f3ac1220b8f02b450aca96356

Aliases

arxiv: 1003.0923 · arxiv_version: 1003.0923v1 · doi: 10.48550/arxiv.1003.0923 · pith_short_12: SBG3BR4HBVEV · pith_short_16: SBG3BR4HBVEVPKBB · pith_short_8: SBG3BR4H

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/SBG3BR4HBVEVPKBB54GZB2EA4A \
  | 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: 904db0c7870d4957a821ef0d90e880e005408f6f3ac1220b8f02b450aca96356

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa94bc6818ec06cf6cd617d1bc33030b260f204fc51a949c312c2f543cd8aa1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-03-03T22:15:26Z",
    "title_canon_sha256": "f98e425e06c60a6be99753794478fecf0de85e2ffc69729d32ab1b4b12c8993c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0923",
    "kind": "arxiv",
    "version": 1
  }
}