Pith Number

pith:DL3VBXMA

pith:2017:DL3VBXMA2QT6KUHF7I77RJ33H7

not attested not anchored not stored refs pending

Twisted Virtual Bikeigebras and Twisted Virtual Handlebody-Knots

Sam Nelson, Yuqi Zhao

arxiv:1711.04362 v1 · 2017-11-12 · 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{DL3VBXMA2QT6KUHF7I77RJ33H7}

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	2026-05-18T00:30:39.262957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1af750dd80d427e550e5fa3ff8a77b3fcaf40d988a0148d25f0d347ce32512ec

Aliases

arxiv: 1711.04362 · arxiv_version: 1711.04362v1 · doi: 10.48550/arxiv.1711.04362 · pith_short_12: DL3VBXMA2QT6 · pith_short_16: DL3VBXMA2QT6KUHF · pith_short_8: DL3VBXMA

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/DL3VBXMA2QT6KUHF7I77RJ33H7 \
  | 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: 1af750dd80d427e550e5fa3ff8a77b3fcaf40d988a0148d25f0d347ce32512ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa4b0eb081bb060e01ea15d8bc67289afaa272168cfb526555fa8ecb683fe6de",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-11-12T21:38:33Z",
    "title_canon_sha256": "cd0051b2c1c82520266306ef173c5915917ea1870d29bf160023969d2651c8b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04362",
    "kind": "arxiv",
    "version": 1
  }
}