Pith Number

pith:JX56YIZP

pith:2013:JX56YIZPIUMWUKX37YN45A7KFD

not attested not anchored not stored refs pending

Properties of modified Riemannian extensions

Ali Cakmak, Aydin GEZER, Lokman Bilen

arxiv:1305.4478 v2 · 2013-05-20 · 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{JX56YIZPIUMWUKX37YN45A7KFD}

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.

Cited by

1 paper in Pith

Yamabe flow on modified Riemann extension

Receipt and verification

First computed	2026-05-18T03:24:53.572305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dfbec232f45196a2afbfe1bce83ea28d17892db7cc49ee86da65ac8f8b08b2b

Aliases

arxiv: 1305.4478 · arxiv_version: 1305.4478v2 · doi: 10.48550/arxiv.1305.4478 · pith_short_12: JX56YIZPIUMW · pith_short_16: JX56YIZPIUMWUKX3 · pith_short_8: JX56YIZP

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/JX56YIZPIUMWUKX37YN45A7KFD \
  | 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: 4dfbec232f45196a2afbfe1bce83ea28d17892db7cc49ee86da65ac8f8b08b2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c942ec2cda4d17c5ebf0945ae402ba141d5fac5b14fed8d660223b565ce0e4be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-20T09:52:43Z",
    "title_canon_sha256": "4f1ca7c1bfbbb370bce5e91afa33c1b9aa6491042e399dcc8c32efb0a8c97d26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4478",
    "kind": "arxiv",
    "version": 2
  }
}