Pith Number

pith:ZH6FJ7GQ

pith:2012:ZH6FJ7GQVEVNZW2MKOX7RCGJHM

not attested not anchored not stored refs pending

Clifford-Wolf translations of Finsler spaces of negative flag curvature

ShaoQiang Deng

arxiv:1204.5048 v2 · 2012-04-23 · 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{ZH6FJ7GQVEVNZW2MKOX7RCGJHM}

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	2026-05-18T03:36:56.657113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9fc54fcd0a92adcdb4c53aff888c93b12d5e634e05fc522f6d19f06cc2d4025

Aliases

arxiv: 1204.5048 · arxiv_version: 1204.5048v2 · doi: 10.48550/arxiv.1204.5048 · pith_short_12: ZH6FJ7GQVEVN · pith_short_16: ZH6FJ7GQVEVNZW2M · pith_short_8: ZH6FJ7GQ

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/ZH6FJ7GQVEVNZW2MKOX7RCGJHM \
  | 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: c9fc54fcd0a92adcdb4c53aff888c93b12d5e634e05fc522f6d19f06cc2d4025

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1285ef5a56a13411e1e2b3743aa2f0ac09b27dbf5101c8c346c663dfaac4e4f4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-04-23T12:57:31Z",
    "title_canon_sha256": "26e72b7fa0b09ae8a2a24bdb648d5532fea46f4db4e5977a69696d0a2986f011"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5048",
    "kind": "arxiv",
    "version": 2
  }
}