Pith Number

pith:DNGGFUGP

pith:2016:DNGGFUGPQNLABCI4XTQ3DF57JD

not attested not anchored not stored refs pending

Nearby Lagrangian fibers and Whitney sphere links

Ivan Smith, Tobias Ekholm

arxiv:1609.07591 v2 · 2016-09-24 · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DNGGFUGPQNLABCI4XTQ3DF57JD}

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	2026-05-17T23:53:12.998305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b4c62d0cf835600891cbce1b197bf48c50ece1d55c2d16f0ca6c320396a0525

Aliases

arxiv: 1609.07591 · arxiv_version: 1609.07591v2 · doi: 10.48550/arxiv.1609.07591 · pith_short_12: DNGGFUGPQNLA · pith_short_16: DNGGFUGPQNLABCI4 · pith_short_8: DNGGFUGP

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/DNGGFUGPQNLABCI4XTQ3DF57JD \
  | 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: 1b4c62d0cf835600891cbce1b197bf48c50ece1d55c2d16f0ca6c320396a0525

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c043627644c288c00914ed5c7efec57f7a835f875dad34b9655e8e8245e0b9e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-09-24T09:47:16Z",
    "title_canon_sha256": "03230ed58228bd189736f2bd7279d3d4765b399272ac566d00cdd4f00397c617"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07591",
    "kind": "arxiv",
    "version": 2
  }
}