Pith Number

pith:NPBBLSXD

pith:2018:NPBBLSXDSYV5JYABZSYRSKTF3A

not attested not anchored not stored refs pending

Most Graphs are Knotted

Kazuhiro Ichihara, Thomas W. Mattman

arxiv:1811.09726 v1 · 2018-11-23 · 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{NPBBLSXDSYV5JYABZSYRSKTF3A}

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	2026-05-18T00:00:01.382779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bc215cae3962bd4e001ccb1192a65d8226eb652b6a73f83503c44f303a4e2c5

Aliases

arxiv: 1811.09726 · arxiv_version: 1811.09726v1 · doi: 10.48550/arxiv.1811.09726 · pith_short_12: NPBBLSXDSYV5 · pith_short_16: NPBBLSXDSYV5JYAB · pith_short_8: NPBBLSXD

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/NPBBLSXDSYV5JYABZSYRSKTF3A \
  | 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: 6bc215cae3962bd4e001ccb1192a65d8226eb652b6a73f83503c44f303a4e2c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9344683869cc2fbf0de6450de6ecee260ea6749ece6bfca02b3ea4a7a76a106f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-11-23T23:27:50Z",
    "title_canon_sha256": "60e072965f457c8818eb999d7724f195a41c55f7320725c42c6a0507cadfeb11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09726",
    "kind": "arxiv",
    "version": 1
  }
}