Pith Number

pith:D5W4ZNFF

pith:2011:D5W4ZNFFKHDVXSWNYTGELR6EPZ

not attested not anchored not stored refs pending

On the unification of quantum 3-manifold invariants

Anna Beliakova, Thang Le

arxiv:1106.6298 v1 · 2011-06-30 · 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{D5W4ZNFFKHDVXSWNYTGELR6EPZ}

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	2026-05-18T02:54:22.495538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f6dccb4a551c75bcacdc4cc45c7c47e5c4d09f3cd0f3369b08f1576bbef5ab3

Aliases

arxiv: 1106.6298 · arxiv_version: 1106.6298v1 · doi: 10.48550/arxiv.1106.6298 · pith_short_12: D5W4ZNFFKHDV · pith_short_16: D5W4ZNFFKHDVXSWN · pith_short_8: D5W4ZNFF

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/D5W4ZNFFKHDVXSWNYTGELR6EPZ \
  | 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: 1f6dccb4a551c75bcacdc4cc45c7c47e5c4d09f3cd0f3369b08f1576bbef5ab3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9c044cd7c930aeee0def26a533b556d6423868b85c740c15511e01f2a6c22e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-06-30T16:34:15Z",
    "title_canon_sha256": "63f901d5daa909dc831ba729d3cbd80ef951b7390cdead8f4e383e371486b072"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.6298",
    "kind": "arxiv",
    "version": 1
  }
}