Pith Number

pith:PDNMH7PM

pith:2017:PDNMH7PMLQOS2S2I2KY7JYQJKB

not attested not anchored not stored refs pending

Geometric invariants of $5/2$-cuspidal edges

Atsufumi Honda, Kentaro Saji

arxiv:1710.06014 v2 · 2017-10-16 · 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{PDNMH7PMLQOS2S2I2KY7JYQJKB}

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	2026-05-17T23:53:52.040237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78dac3fdec5c1d2d4b48d2b1f4e209504240d743342c277ead02d006387d3afc

Aliases

arxiv: 1710.06014 · arxiv_version: 1710.06014v2 · doi: 10.48550/arxiv.1710.06014 · pith_short_12: PDNMH7PMLQOS · pith_short_16: PDNMH7PMLQOS2S2I · pith_short_8: PDNMH7PM

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/PDNMH7PMLQOS2S2I2KY7JYQJKB \
  | 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: 78dac3fdec5c1d2d4b48d2b1f4e209504240d743342c277ead02d006387d3afc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a38016db84459893a7d1b7bc63598959ffa506ab3440e36996443e39b342fb09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-10-16T22:24:53Z",
    "title_canon_sha256": "d690f5576a51415aa4868ebdb3a36c4b9f67d1b410fe3042ed7d4faea2d04032"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06014",
    "kind": "arxiv",
    "version": 2
  }
}