Pith Number

pith:U4AN7Z56

pith:2014:U4AN7Z56IQHF75UGSA5ZKPUHK2

not attested not anchored not stored refs pending

Null eikonal helices and Null eikonal slant helices in the 4-dimensional Lorentzian manifold

Evren Z{\i}plar

arxiv:1401.4826 v1 · 2014-01-20 · 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{U4AN7Z56IQHF75UGSA5ZKPUHK2}

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	2026-05-18T03:01:44.406867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a700dfe7be440e5ff686903b953e8756b6d6d706a1eb2489d95b2b70b4939db4

Aliases

arxiv: 1401.4826 · arxiv_version: 1401.4826v1 · doi: 10.48550/arxiv.1401.4826 · pith_short_12: U4AN7Z56IQHF · pith_short_16: U4AN7Z56IQHF75UG · pith_short_8: U4AN7Z56

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/U4AN7Z56IQHF75UGSA5ZKPUHK2 \
  | 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: a700dfe7be440e5ff686903b953e8756b6d6d706a1eb2489d95b2b70b4939db4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "649601901231963367370e1d7204d9e6dcf1caa106f167101e092e696b00519d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-01-20T09:03:26Z",
    "title_canon_sha256": "7edb4862c4109a3710f25c60fb4d104db1f6e74d76c4fbf3a7797a0f9dceb797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4826",
    "kind": "arxiv",
    "version": 1
  }
}