Pith Number

pith:WKRQZZZS

pith:2017:WKRQZZZSWSDFP5YLQPJDPWJAWN

not attested not anchored not stored refs pending

Binary differential equations at parabolic and umbilical points for $2$-parameter families of surfaces

Jorge Luiz Deolindo Silva, Toru Ohmoto, Yutaro Kabata

arxiv:1708.04918 v2 · 2017-08-16 · math.DG · 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{WKRQZZZSWSDFP5YLQPJDPWJAWN}

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	2026-05-18T00:37:50.239917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2a30ce732b48657f70b83d237d920b373cabb3940f67e278292d493514f50b0

Aliases

arxiv: 1708.04918 · arxiv_version: 1708.04918v2 · doi: 10.48550/arxiv.1708.04918 · pith_short_12: WKRQZZZSWSDF · pith_short_16: WKRQZZZSWSDFP5YL · pith_short_8: WKRQZZZS

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/WKRQZZZSWSDFP5YLQPJDPWJAWN \
  | 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: b2a30ce732b48657f70b83d237d920b373cabb3940f67e278292d493514f50b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1c9650061dad1c71a4035a40eecfedb0b4ce66c7ea17d0f95efb1bf00020493",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-08-16T14:53:44Z",
    "title_canon_sha256": "d61cb1add4ee1275fd55f63f2e11321d20a8531011a8a418fc183fa087fe0160"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04918",
    "kind": "arxiv",
    "version": 2
  }
}