Pith Number

pith:4WIITTXT

pith:2016:4WIITTXTKAGJHBTSDTVOHVRW4S

not attested not anchored not stored refs pending

Einstein Geometrization Philosophy and Differential Identities in PAP-Geometry

M. I. Wanas, Nabil L. Youssef, S. N. Osman, W. El Hanafy

arxiv:1611.06075 v1 · 2016-11-18 · gr-qc · 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{4WIITTXTKAGJHBTSDTVOHVRW4S}

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	2026-05-18T00:56:00.134229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e59089cef3500c9386721ceae3d636e4a2b6459eeb7d2845f5943363c2c98e8b

Aliases

arxiv: 1611.06075 · arxiv_version: 1611.06075v1 · doi: 10.48550/arxiv.1611.06075 · pith_short_12: 4WIITTXTKAGJ · pith_short_16: 4WIITTXTKAGJHBTS · pith_short_8: 4WIITTXT

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/4WIITTXTKAGJHBTSDTVOHVRW4S \
  | 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: e59089cef3500c9386721ceae3d636e4a2b6459eeb7d2845f5943363c2c98e8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8778d8ed3b82ee50a1679bf8adee7abadf5df455f269c9a36926b6c35b66128b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-11-18T13:53:43Z",
    "title_canon_sha256": "fae763ff01f27b7f090ecadf443c44db15f2dfcfc923a435487858ab9dabc8a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06075",
    "kind": "arxiv",
    "version": 1
  }
}