Pith Number

pith:HE7IN3TB

pith:2019:HE7IN3TBIIHKSLAKNJSN4BOV53

not attested not anchored not stored refs pending

Balanced algebraic unknotting, linking forms, and surfaces in three- and four-space

Lukas Lewark, Peter Feller

arxiv:1905.08305 v4 · 2019-05-20 · 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{HE7IN3TBIIHKSLAKNJSN4BOV53}

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.

Cited by

1 paper in Pith

Null-homologous twisting and the algebraic genus

Receipt and verification

First computed	2026-07-05T08:42:27.057755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

393e86ee61420ea92c0a6a64de05d5eef8635b85bcd0645dc56b4dcaf7ecfb45

Aliases

arxiv: 1905.08305 · arxiv_version: 1905.08305v4 · doi: 10.48550/arxiv.1905.08305 · pith_short_12: HE7IN3TBIIHK · pith_short_16: HE7IN3TBIIHKSLAK · pith_short_8: HE7IN3TB

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/HE7IN3TBIIHKSLAKNJSN4BOV53 \
  | 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: 393e86ee61420ea92c0a6a64de05d5eef8635b85bcd0645dc56b4dcaf7ecfb45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0aefd8d7f05af6c34b46b69e5c56ed392925eef29fea62327488eca40449891",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-05-20T19:19:51Z",
    "title_canon_sha256": "68aa82756e6956f3abfb2cfc0b3a6c23d603ab78e10f671468c1754aa35c2bb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08305",
    "kind": "arxiv",
    "version": 4
  }
}