Pith Number

pith:J7XTBFHC

pith:2007:J7XTBFHCSXDO7RBEREZFROLIUA

not attested not anchored not stored refs pending

Unified quantum invariants and their refinements for homology 3-spheres with 2-torsion

Anna Beliakova, Christian Blanchet, Thang T. Q. Le

arxiv:0704.3669 v1 · 2007-04-27 · math.QA · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7XTBFHCSXDO7RBEREZFROLIUA}

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	2026-05-18T02:54:22.538534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fef3094e295c6efc424893258b968a018aaa2019a6dde2ba5ceb43db4e94f89

Aliases

arxiv: 0704.3669 · arxiv_version: 0704.3669v1 · doi: 10.48550/arxiv.0704.3669 · pith_short_12: J7XTBFHCSXDO · pith_short_16: J7XTBFHCSXDO7RBE · pith_short_8: J7XTBFHC

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/J7XTBFHCSXDO7RBEREZFROLIUA \
  | 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: 4fef3094e295c6efc424893258b968a018aaa2019a6dde2ba5ceb43db4e94f89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c68071c1ffd670cf33f5aa3bd9077e58e0bfe1593fb8020cf8239eead9a17ac9",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2007-04-27T07:12:16Z",
    "title_canon_sha256": "6a1ee0d0aa9487e1f386481a922ca2e575a67dd0c9945a6b80a9879de7857054"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.3669",
    "kind": "arxiv",
    "version": 1
  }
}