Pith Number

pith:5WK5TEII

pith:2018:5WK5TEIISJ37MPVRAREVRIAIRS

not attested not anchored not stored refs pending

Singularities of the projections of $n$-dimensional knots

Eiji Ogasa

arxiv:1803.03221 v2 · 2018-03-08 · 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{5WK5TEIISJ37MPVRAREVRIAIRS}

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	2026-05-18T00:21:19.363353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed95d991089277f63eb1044958a0088cbbab384d772b634d87e3aabd50192351

Aliases

arxiv: 1803.03221 · arxiv_version: 1803.03221v2 · doi: 10.48550/arxiv.1803.03221 · pith_short_12: 5WK5TEIISJ37 · pith_short_16: 5WK5TEIISJ37MPVR · pith_short_8: 5WK5TEII

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/5WK5TEIISJ37MPVRAREVRIAIRS \
  | 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: ed95d991089277f63eb1044958a0088cbbab384d772b634d87e3aabd50192351

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c20007f3ea9a194e074609ba8090b4406998fb099bf8e2ab8a352cfd0449c48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-03-08T17:43:21Z",
    "title_canon_sha256": "0fbe83e02a59c4d41a6115a471a8a5af5adcde45c2e30db7e9055cda29569fab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03221",
    "kind": "arxiv",
    "version": 2
  }
}