Pith Number

pith:KLYEWFFA

pith:2016:KLYEWFFALB4Z52A5KS3OFJSP4P

not attested not anchored not stored refs pending

McLean's second variation formula revisited

H\^ong V\^an L\^e, Jir\'i Vanzura

arxiv:1605.01267 v2 · 2016-05-04 · 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{KLYEWFFALB4Z52A5KS3OFJSP4P}

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	2026-05-18T00:51:34.103469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52f04b14a058799ee81d54b6e2a64fe3d41ff3bdf8bc1b48a1f76e29797a7aa8

Aliases

arxiv: 1605.01267 · arxiv_version: 1605.01267v2 · doi: 10.48550/arxiv.1605.01267 · pith_short_12: KLYEWFFALB4Z · pith_short_16: KLYEWFFALB4Z52A5 · pith_short_8: KLYEWFFA

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/KLYEWFFALB4Z52A5KS3OFJSP4P \
  | 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: 52f04b14a058799ee81d54b6e2a64fe3d41ff3bdf8bc1b48a1f76e29797a7aa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da185edbb7de82af5c2f3aa7d27720709f9b094c3ab1f4f8afd1a56233a0cfb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-05-04T13:23:04Z",
    "title_canon_sha256": "27bbc5681e3267134c7128e51043137aa0d3e142cbad06d0843a88f0aef4e2a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01267",
    "kind": "arxiv",
    "version": 2
  }
}