Pith Number

pith:PT52PH4W

pith:2014:PT52PH4W3FU2DVNT6HGD57UEOF

not attested not anchored not stored refs pending

Twistor geometry of Riemannian 4-manifolds by moving frames

Jixiang Fu, Xianchao Zhou

arxiv:1403.2855 v1 · 2014-03-12 · 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{PT52PH4W3FU2DVNT6HGD57UEOF}

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	2026-05-18T02:56:33.750904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cfba79f96d969a1d5b3f1cc3efe847177369f9decdf8ce46bcde1a4cbe0c73f

Aliases

arxiv: 1403.2855 · arxiv_version: 1403.2855v1 · doi: 10.48550/arxiv.1403.2855 · pith_short_12: PT52PH4W3FU2 · pith_short_16: PT52PH4W3FU2DVNT · pith_short_8: PT52PH4W

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/PT52PH4W3FU2DVNT6HGD57UEOF \
  | 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: 7cfba79f96d969a1d5b3f1cc3efe847177369f9decdf8ce46bcde1a4cbe0c73f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5977db9425acb1d48727eb95c60801b62b541ff7ebe32c794a1da596729d60a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-03-12T09:07:41Z",
    "title_canon_sha256": "211efd7c95f1e65b7f3056881b2f15a20b660d336c1cd623eb0d27ad94fa98f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2855",
    "kind": "arxiv",
    "version": 1
  }
}