Pith Number

pith:Q7PA67HL

pith:2012:Q7PA67HL7DNVPPDXY4FII3D2MS

not attested not anchored not stored refs pending

Parallel Transport Frame in 4-dimensional Euclidean Space

Fatma G\"ok\c{c}el\.ik, F. Nejat Ekmekc\.i, \.Ismail G\"ok, Yusuf Yayli, Zehra Bozkurt

arxiv:1207.2999 v1 · 2012-07-12 · 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{Q7PA67HL7DNVPPDXY4FII3D2MS}

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	2026-05-18T03:51:13.295181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87de0f7cebf8db57bc77c70a846c7a64be46e8602bb65dc92253809b622f5a49

Aliases

arxiv: 1207.2999 · arxiv_version: 1207.2999v1 · doi: 10.48550/arxiv.1207.2999 · pith_short_12: Q7PA67HL7DNV · pith_short_16: Q7PA67HL7DNVPPDX · pith_short_8: Q7PA67HL

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/Q7PA67HL7DNVPPDXY4FII3D2MS \
  | 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: 87de0f7cebf8db57bc77c70a846c7a64be46e8602bb65dc92253809b622f5a49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a893599fc4a8de606e17b35f2d3b276f843f7a731801a9ae0b4bcfe4a183f135",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-12T15:31:32Z",
    "title_canon_sha256": "b4a128253cef80450fffd934e2a2bee2360f6e1ff6a81e6fd52e0f0bb12b2028"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2999",
    "kind": "arxiv",
    "version": 1
  }
}