Pith Number

pith:NABQYP5O

pith:2010:NABQYP5OWJHQKEHKJD7YHBAISE

not attested not anchored not stored refs pending

Smooth concordance of links topologically concordant to the Hopf link

Daniel Ruberman, Jae Choon Cha, Saso Strle, Taehee Kim

arxiv:1012.2045 v1 · 2010-12-09 · 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{NABQYP5OWJHQKEHKJD7YHBAISE}

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	2026-05-18T02:58:01.411547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68030c3faeb24f0510ea48ff838408913f2708663409de4d22a0c9d8c05fb71b

Aliases

arxiv: 1012.2045 · arxiv_version: 1012.2045v1 · doi: 10.48550/arxiv.1012.2045 · pith_short_12: NABQYP5OWJHQ · pith_short_16: NABQYP5OWJHQKEHK · pith_short_8: NABQYP5O

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/NABQYP5OWJHQKEHKJD7YHBAISE \
  | 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: 68030c3faeb24f0510ea48ff838408913f2708663409de4d22a0c9d8c05fb71b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccb823cefb25ff8cbc4afea22ca95f29c268566b25bb40462f44ace5feea3ade",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-12-09T16:34:52Z",
    "title_canon_sha256": "86680c833bd0dcceb08a7688f97a7009b9ddc6c19c507ec03a1b68e44b5cbc96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2045",
    "kind": "arxiv",
    "version": 1
  }
}