Pith Number

pith:BK7PVZ3W

pith:2016:BK7PVZ3WK3GGOCSQVSATQTMXLM

not attested not anchored not stored refs pending

Null surgery on knots in L-spaces

Faramarz Vafaee, Yi Ni

arxiv:1608.07050 v2 · 2016-08-25 · 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{BK7PVZ3WK3GGOCSQVSATQTMXLM}

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	2026-05-18T00:26:08.665398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0abefae77656cc670a50ac81384d975b1f2468b3a5c7403703f1e42c20d58021

Aliases

arxiv: 1608.07050 · arxiv_version: 1608.07050v2 · doi: 10.48550/arxiv.1608.07050 · pith_short_12: BK7PVZ3WK3GG · pith_short_16: BK7PVZ3WK3GGOCSQ · pith_short_8: BK7PVZ3W

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/BK7PVZ3WK3GGOCSQVSATQTMXLM \
  | 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: 0abefae77656cc670a50ac81384d975b1f2468b3a5c7403703f1e42c20d58021

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "969d6f25d04fab42db9f73a61a56fe34d83890d12ad0dfc3e2219d8a89592558",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-08-25T08:27:40Z",
    "title_canon_sha256": "dae3bc9fef25fa1a1bece07d6df1af4494455d89c43399c13d05f1da6b90cdcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07050",
    "kind": "arxiv",
    "version": 2
  }
}