Pith Number

pith:ASQ6AKS5

pith:2016:ASQ6AKS5NS2QVIZ72M4IM6LF47

not attested not anchored not stored refs pending

Spacious knots

Autumn E. Kent, Jessica S. Purcell

arxiv:1610.07731 v3 · 2016-10-25 · 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{ASQ6AKS5NS2QVIZ72M4IM6LF47}

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	2026-05-18T00:12:40.904096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04a1e02a5d6cb50aa33fd338867965e7db2d4b54f7080ae8b410737d5b495564

Aliases

arxiv: 1610.07731 · arxiv_version: 1610.07731v3 · doi: 10.48550/arxiv.1610.07731 · pith_short_12: ASQ6AKS5NS2Q · pith_short_16: ASQ6AKS5NS2QVIZ7 · pith_short_8: ASQ6AKS5

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/ASQ6AKS5NS2QVIZ72M4IM6LF47 \
  | 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: 04a1e02a5d6cb50aa33fd338867965e7db2d4b54f7080ae8b410737d5b495564

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e6dfd4b87063ad6d3834a4d336bdd25a63c3f4bb25496a18b340f0cd8f9878f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-10-25T04:43:01Z",
    "title_canon_sha256": "5e1c81ca58563e3ea5b8d3e7223ffd4303114bfa4d56d4b05c14da4a1db15170"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07731",
    "kind": "arxiv",
    "version": 3
  }
}