Pith Number

pith:FTPBFVNJ

pith:2018:FTPBFVNJ6EMBC4DD7T4UUVKI7W

not attested not anchored not stored refs pending

What is a Singular Knot?

Zsuzsanna Dancso

arxiv:1811.08543 v1 · 2018-11-21 · 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{FTPBFVNJ6EMBC4DD7T4UUVKI7W}

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	2026-05-18T00:00:12.267829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cde12d5a9f118117063fcf94a5548fda1c2a724e8f9a2880c4f955c1e9e45fa

Aliases

arxiv: 1811.08543 · arxiv_version: 1811.08543v1 · doi: 10.48550/arxiv.1811.08543 · pith_short_12: FTPBFVNJ6EMB · pith_short_16: FTPBFVNJ6EMBC4DD · pith_short_8: FTPBFVNJ

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/FTPBFVNJ6EMBC4DD7T4UUVKI7W \
  | 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: 2cde12d5a9f118117063fcf94a5548fda1c2a724e8f9a2880c4f955c1e9e45fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83d98f3cd6a62fc610550a3c1f8f83b2b4533849a25bc9722655bc1eb51ea612",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-11-21T01:52:52Z",
    "title_canon_sha256": "0a837ec1796031a42920851f8bc7d34571faafe7c04bdb244df3a0c62227dc53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08543",
    "kind": "arxiv",
    "version": 1
  }
}