Pith Number

pith:FZ57KV23

pith:2016:FZ57KV23TK2PBHMWMGZSB5CNL5

not attested not anchored not stored refs pending

Whitney equisingularity of families of surfaces in $\mathbb{C}^3$

M. A. S. Ruas, O. N. Silva

arxiv:1608.08290 v2 · 2016-08-30 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZ57KV23TK2PBHMWMGZSB5CNL5}

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	2026-05-18T00:48:42.412299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e7bf5575b9ab4f09d9661b320f44d5f624c04a146c4fe9f10689f875221d3bf

Aliases

arxiv: 1608.08290 · arxiv_version: 1608.08290v2 · doi: 10.48550/arxiv.1608.08290 · pith_short_12: FZ57KV23TK2P · pith_short_16: FZ57KV23TK2PBHMW · pith_short_8: FZ57KV23

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/FZ57KV23TK2PBHMWMGZSB5CNL5 \
  | 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: 2e7bf5575b9ab4f09d9661b320f44d5f624c04a146c4fe9f10689f875221d3bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3116f88c4210bd7a63cd709a26e58b83271f29ff5bff873606a38194b10a3d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-08-30T00:53:26Z",
    "title_canon_sha256": "fed9df5a8f83326c7d29ef60a700f97fb855142e212347f8a666c4c677bd7ac3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08290",
    "kind": "arxiv",
    "version": 2
  }
}