Pith Number

pith:VRWAUK7L

pith:2015:VRWAUK7L2NOLCL4PRWKLX5MO27

not attested not anchored not stored refs pending

Character varieties, A-polynomials, and the AJ Conjecture

Thang T. Q. Le, Xingru Zhang

arxiv:1509.03277 v1 · 2015-09-10 · 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{VRWAUK7L2NOLCL4PRWKLX5MO27}

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	2026-05-18T00:51:18.423243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac6c0a2bebd35cb12f8f8d94bbf58ed7ecf336b02a1970f1c79d5f11a0b113ce

Aliases

arxiv: 1509.03277 · arxiv_version: 1509.03277v1 · doi: 10.48550/arxiv.1509.03277 · pith_short_12: VRWAUK7L2NOL · pith_short_16: VRWAUK7L2NOLCL4P · pith_short_8: VRWAUK7L

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/VRWAUK7L2NOLCL4PRWKLX5MO27 \
  | 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: ac6c0a2bebd35cb12f8f8d94bbf58ed7ecf336b02a1970f1c79d5f11a0b113ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08b84e973eeef21acce1c84529f406a1c1c5af17e92982312cf45328d445aa8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-10T19:00:54Z",
    "title_canon_sha256": "e6fcd17a2128857df89fcdf4e922713d9917e33285061c7047a363a9635c63e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03277",
    "kind": "arxiv",
    "version": 1
  }
}