Pith Number

pith:YLYLELB4

pith:2010:YLYLELB4KJN5MCKN3K26S5JGTE

not attested not anchored not stored refs pending

Intrinsic symmetry groups of links with 8 and fewer crossings

Aja Johnson, Al LaPointe, Amelia Kelly, Ellie Dannenberg, Jacob Rooney, Jason Cantarella, Jason Parsley, Matt Mastin, Meredith Perrie Casey, Michael Berglund, Rachel Whitaker, Whitney George

arxiv:1010.3234 v2 · 2010-10-15 · 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{YLYLELB4KJN5MCKN3K26S5JGTE}

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	2026-05-18T02:23:45.563929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2f0b22c3c525bd6094ddab5e97526990bd1c0a5acf18f7a39294ef5abbf1628

Aliases

arxiv: 1010.3234 · arxiv_version: 1010.3234v2 · doi: 10.48550/arxiv.1010.3234 · pith_short_12: YLYLELB4KJN5 · pith_short_16: YLYLELB4KJN5MCKN · pith_short_8: YLYLELB4

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/YLYLELB4KJN5MCKN3K26S5JGTE \
  | 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: c2f0b22c3c525bd6094ddab5e97526990bd1c0a5acf18f7a39294ef5abbf1628

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb3811798c672d9784d620c2a53f7d907cbaad25198a19af4993472f8ff3ef53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-10-15T17:52:16Z",
    "title_canon_sha256": "55bcddf108f32b448f7aa8dcfe9915f2d0e5b9f54123fc05c1128267a21bf617"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3234",
    "kind": "arxiv",
    "version": 2
  }
}