Pith Number

pith:HRY2QHUC

pith:2019:HRY2QHUCTMTQMCBU473L4P2YUJ

not attested not anchored not stored refs pending

Jointly primitive knots and surgeries between lens spaces

Joan E. Licata, Kenneth L. Baker, Neil R. Hoffman

arxiv:1904.03268 v1 · 2019-04-05 · 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{HRY2QHUCTMTQMCBU473L4P2YUJ}

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	2026-05-17T23:49:14.021241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c71a81e829b27060834e7f6be3f58a2756af08a4ea1be93a62b445fd84f0fce

Aliases

arxiv: 1904.03268 · arxiv_version: 1904.03268v1 · doi: 10.48550/arxiv.1904.03268 · pith_short_12: HRY2QHUCTMTQ · pith_short_16: HRY2QHUCTMTQMCBU · pith_short_8: HRY2QHUC

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/HRY2QHUCTMTQMCBU473L4P2YUJ \
  | 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: 3c71a81e829b27060834e7f6be3f58a2756af08a4ea1be93a62b445fd84f0fce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c96cb0faf070265067d1aacd97cae3dd9a3401b569be9d4d495a3a7bc376c5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-04-05T20:36:04Z",
    "title_canon_sha256": "ab8b86e15af439e05e50644debdf07ec33a97ddafffb1f4c8b8b513a598380d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03268",
    "kind": "arxiv",
    "version": 1
  }
}