Pith Number

pith:TVYRBC5Q

pith:2015:TVYRBC5QWPD27VCEOATLJP7YEP

not attested not anchored not stored refs pending

An Isometrical ${\Bbb C\Bbb P}^{n}$-Theorem

Hongwei Sun, Xiaole Su, Yusheng Wang

arxiv:1506.03535 v2 · 2015-06-11 · 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{TVYRBC5QWPD27VCEOATLJP7YEP}

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	2026-05-18T01:15:36.206175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d71108bb0b3c7afd4447026b4bff823fcbf473e378a3c54e5d0d699dbcd3910

Aliases

arxiv: 1506.03535 · arxiv_version: 1506.03535v2 · doi: 10.48550/arxiv.1506.03535 · pith_short_12: TVYRBC5QWPD2 · pith_short_16: TVYRBC5QWPD27VCE · pith_short_8: TVYRBC5Q

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/TVYRBC5QWPD27VCEOATLJP7YEP \
  | 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: 9d71108bb0b3c7afd4447026b4bff823fcbf473e378a3c54e5d0d699dbcd3910

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "250cd2787152e92cd9eb256b9657a013615bcdd7c6f33c9008bdc3818cb61b88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-06-11T03:11:53Z",
    "title_canon_sha256": "552d981ffc6053c50fc7eebb9acdeba76712a25daa1dfb6d55073bb4a7e53f6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03535",
    "kind": "arxiv",
    "version": 2
  }
}