Pith Number

pith:RBJ23KYN

pith:2012:RBJ23KYNJU4AATW5K2TGMULJZS

not attested not anchored not stored refs pending

Complementary Regions of Multi-Crossing Projections of Knots

MurphyKate Montee

arxiv:1210.0453 v1 · 2012-10-01 · 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{RBJ23KYNJU4AATW5K2TGMULJZS}

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	2026-05-18T03:44:22.435145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8853adab0d4d38004edd56a6665169ccb2896e5a43ffbb191794928b9a790a31

Aliases

arxiv: 1210.0453 · arxiv_version: 1210.0453v1 · doi: 10.48550/arxiv.1210.0453 · pith_short_12: RBJ23KYNJU4A · pith_short_16: RBJ23KYNJU4AATW5 · pith_short_8: RBJ23KYN

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/RBJ23KYNJU4AATW5K2TGMULJZS \
  | 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: 8853adab0d4d38004edd56a6665169ccb2896e5a43ffbb191794928b9a790a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a41d2f03f96efd86336cf5fae440081bdb83d1827c506a16af2b4afd0941d6a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-01T16:11:15Z",
    "title_canon_sha256": "02df84c83a425fca4bbac88277baf1f1d081fd1fe0dd67fd6d7b15df869270c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0453",
    "kind": "arxiv",
    "version": 1
  }
}