Pith Number

pith:TDFGIPIE

pith:2019:TDFGIPIE5BTY7PHCBBIFXUYCFM

not attested not anchored not stored refs pending

Duality on generalized cuspidal edges preserving singular set images and first fundamental forms

Atsufumi Honda, Kentaro Saji, Kosuke Naokawa, Kotaro Yamada, Masaaki Umehara

arxiv:1906.02556 v5 · 2019-06-06 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TDFGIPIE5BTY7PHCBBIFXUYCFM}

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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.

Cited by

1 paper in Pith

Cuspidal edges with the same first fundamental forms along a knot

Receipt and verification

First computed	2026-07-05T01:23:08.467652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98ca643d04e8678fbce208505bd3022b2bc317be28d020b1be6f43dd7bd053aa

Aliases

arxiv: 1906.02556 · arxiv_version: 1906.02556v5 · doi: 10.48550/arxiv.1906.02556 · pith_short_12: TDFGIPIE5BTY · pith_short_16: TDFGIPIE5BTY7PHC · pith_short_8: TDFGIPIE

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/TDFGIPIE5BTY7PHCBBIFXUYCFM \
  | 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: 98ca643d04e8678fbce208505bd3022b2bc317be28d020b1be6f43dd7bd053aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c95d3759477bafc3ce055cfa471a4648a4ecfaeb267f3fc89283eb191f56c5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-06-06T12:53:29Z",
    "title_canon_sha256": "c4a27c103a74eca49917eca9cb0b845d5e0aa835179cbe72189a6b42a76c3a87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.02556",
    "kind": "arxiv",
    "version": 5
  }
}