Pith Number

pith:F45ITKK6

pith:2018:F45ITKK67GQYODPMFITGX5BH4L

not attested not anchored not stored refs pending

Invariants of stable maps from the 3-sphere to the Euclidean 3-space

C. Mendes De Jesus, J. Palacios, N. B. Huamani

arxiv:1807.06122 v1 · 2018-07-16 · 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{F45ITKK67GQYODPMFITGX5BH4L}

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	2026-05-18T00:10:33.956246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f3a89a95ef9a1870dec2a266bf427e2d31e98e6b5ec2a18272fc184a5cdbfa4

Aliases

arxiv: 1807.06122 · arxiv_version: 1807.06122v1 · doi: 10.48550/arxiv.1807.06122 · pith_short_12: F45ITKK67GQY · pith_short_16: F45ITKK67GQYODPM · pith_short_8: F45ITKK6

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/F45ITKK67GQYODPMFITGX5BH4L \
  | 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: 2f3a89a95ef9a1870dec2a266bf427e2d31e98e6b5ec2a18272fc184a5cdbfa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19c9ef5e69896427437e16b673d5b18e24d91ebdfbf04aecfc9e28e921df4c4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-07-16T21:41:22Z",
    "title_canon_sha256": "71f660643e7d3f51220a1b29458ce9bf8b2449b170fdd396014a9ea71c0eaa2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06122",
    "kind": "arxiv",
    "version": 1
  }
}