Pith Number

pith:LOCXVTUM

pith:2015:LOCXVTUMCCVR7E5ZFXHAP7XXQ2

not attested not anchored not stored refs pending

2-torsion in the grope and solvable filtrations of knots

Hye Jin Jang

arxiv:1502.04436 v1 · 2015-02-16 · 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{LOCXVTUMCCVR7E5ZFXHAP7XXQ2}

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	2026-05-18T02:26:59.761453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b857ace8c10ab1f93b92dce07fef786a564691fb1dafd67995f9c7f7c1e99b9

Aliases

arxiv: 1502.04436 · arxiv_version: 1502.04436v1 · doi: 10.48550/arxiv.1502.04436 · pith_short_12: LOCXVTUMCCVR · pith_short_16: LOCXVTUMCCVR7E5Z · pith_short_8: LOCXVTUM

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/LOCXVTUMCCVR7E5ZFXHAP7XXQ2 \
  | 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: 5b857ace8c10ab1f93b92dce07fef786a564691fb1dafd67995f9c7f7c1e99b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e41ad47e5faf8427f1ee075d0928bc3782b8e1e2db8ba80bfa2edc7a26a9effc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-02-16T06:36:48Z",
    "title_canon_sha256": "52196fb930812e642605a99f12ea915d7d887f54c4e15b2e8c8aaf7e34544b6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04436",
    "kind": "arxiv",
    "version": 1
  }
}