Pith Number

pith:5S4VZ5VR

pith:2013:5S4VZ5VRSZKCWPXJ3DWS4KR7OZ

not attested not anchored not stored refs pending

Essential surfaces in highly twisted link complements

David Futer, Maggy Tomova, Ryan Blair

arxiv:1312.5016 v2 · 2013-12-18 · 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{5S4VZ5VRSZKCWPXJ3DWS4KR7OZ}

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	2026-05-18T01:41:00.205540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecb95cf6b196542b3ee9d8ed2e2a3f7660a700beec86407c628ebd3945516591

Aliases

arxiv: 1312.5016 · arxiv_version: 1312.5016v2 · doi: 10.48550/arxiv.1312.5016 · pith_short_12: 5S4VZ5VRSZKC · pith_short_16: 5S4VZ5VRSZKCWPXJ · pith_short_8: 5S4VZ5VR

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/5S4VZ5VRSZKCWPXJ3DWS4KR7OZ \
  | 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: ecb95cf6b196542b3ee9d8ed2e2a3f7660a700beec86407c628ebd3945516591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e610a09e3a635dcffc68745017ccb1c9f9418ee89aa2b9c476eede8122453e6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-12-18T01:31:47Z",
    "title_canon_sha256": "fa823f6efdb9ae3f81d95aefa95d0d23fdec6fa5c3668d5857434f7d6bf3bbb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5016",
    "kind": "arxiv",
    "version": 2
  }
}