Pith Number

pith:4HQMCKMO

pith:2016:4HQMCKMOVIKTD7TNISHRLFQXDB

not attested not anchored not stored refs pending

Bipyramid Decompositions of Multi-crossing Link Complements

Colin Adams, Gregory Kehne

arxiv:1610.03830 v2 · 2016-10-12 · 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{4HQMCKMOVIKTD7TNISHRLFQXDB}

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	2026-05-18T00:33:07.013439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1e0c1298eaa1531fe6d448f159617185109c7053fce979dac9d42081a58617e

Aliases

arxiv: 1610.03830 · arxiv_version: 1610.03830v2 · doi: 10.48550/arxiv.1610.03830 · pith_short_12: 4HQMCKMOVIKT · pith_short_16: 4HQMCKMOVIKTD7TN · pith_short_8: 4HQMCKMO

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/4HQMCKMOVIKTD7TNISHRLFQXDB \
  | 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: e1e0c1298eaa1531fe6d448f159617185109c7053fce979dac9d42081a58617e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1fc44de650dd0581fe5b97df7f339ddf753eec03c4bdbbdcf15767a7908ee3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-10-12T19:16:11Z",
    "title_canon_sha256": "c9ad81a323efcec758a977787a51679b180c9365243525d0ae0437c8761e0e56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03830",
    "kind": "arxiv",
    "version": 2
  }
}