Pith Number

pith:7K3D5GX6

pith:2016:7K3D5GX6BI42IDEZW25YUHVC2J

not attested not anchored not stored refs pending

Freedom of h(2)-variationality and metrizability of sprays

Salah G. Elgendi, Zolt\'an Muzsnay

arxiv:1609.06581 v1 · 2016-09-15 · math.CA · 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{7K3D5GX6BI42IDEZW25YUHVC2J}

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	2026-05-18T01:04:07.843673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fab63e9afe0a39a40c99b6bb8a1ea2d26720dcc395b6c1f44d9fd42fec790d33

Aliases

arxiv: 1609.06581 · arxiv_version: 1609.06581v1 · doi: 10.48550/arxiv.1609.06581 · pith_short_12: 7K3D5GX6BI42 · pith_short_16: 7K3D5GX6BI42IDEZ · pith_short_8: 7K3D5GX6

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/7K3D5GX6BI42IDEZW25YUHVC2J \
  | 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: fab63e9afe0a39a40c99b6bb8a1ea2d26720dcc395b6c1f44d9fd42fec790d33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "660e65f584d609ef19d16c4f7d52f663c7e113c13a7238e0f9a9c0473325fbd7",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-09-15T06:43:33Z",
    "title_canon_sha256": "0148f4593c320fe3bac482a0b6ee8be80517dd82712dabed434d357ffb70f25d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06581",
    "kind": "arxiv",
    "version": 1
  }
}