Pith Number

pith:Y6MXTBIW

pith:2011:Y6MXTBIWH7G3KAATWVVHSUI5BK

not attested not anchored not stored refs pending

Proof of a stronger version of the AJ conjecture for torus knots

Anh T. Tran

arxiv:1111.5065 v2 · 2011-11-22 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y6MXTBIWH7G3KAATWVVHSUI5BK}

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	2026-05-18T01:22:28.796752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7997985163fcdb50013b56a79511d0aae0361f86870940bfc1ffbd32931db50

Aliases

arxiv: 1111.5065 · arxiv_version: 1111.5065v2 · doi: 10.48550/arxiv.1111.5065 · pith_short_12: Y6MXTBIWH7G3 · pith_short_16: Y6MXTBIWH7G3KAAT · pith_short_8: Y6MXTBIW

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/Y6MXTBIWH7G3KAATWVVHSUI5BK \
  | 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: c7997985163fcdb50013b56a79511d0aae0361f86870940bfc1ffbd32931db50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14ee41020ed68f94810dc738b6de34c618a7131348f2e0a57e83c613a789b5ea",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-11-22T00:15:46Z",
    "title_canon_sha256": "89616100f53b25b1ef843078eacff9a64712ccc3d8e0f64906e3cc1bd6f10897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5065",
    "kind": "arxiv",
    "version": 2
  }
}