Pith Number

pith:XQUOIKCV

pith:2015:XQUOIKCVGZMLIU4ROCGQW4P3VM

not attested not anchored not stored refs pending

The Mathematical Work of V. K. Patodi

Weiping Zhang

arxiv:1502.03637 v1 · 2015-02-12 · 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{XQUOIKCVGZMLIU4ROCGQW4P3VM}

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	2026-05-18T02:16:40.906438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc28e428553658b45391708d0b71fbab2142f2fc381b5a9816fc194b10e508b6

Aliases

arxiv: 1502.03637 · arxiv_version: 1502.03637v1 · doi: 10.48550/arxiv.1502.03637 · pith_short_12: XQUOIKCVGZML · pith_short_16: XQUOIKCVGZMLIU4R · pith_short_8: XQUOIKCV

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/XQUOIKCVGZMLIU4ROCGQW4P3VM \
  | 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: bc28e428553658b45391708d0b71fbab2142f2fc381b5a9816fc194b10e508b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5491f9d7af208aa1ccb16a470603867774e5e6f670d69b74bb86cda946e9ea41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-12T12:47:11Z",
    "title_canon_sha256": "1d131c871ce4ae6b0bde35d8d8bc4fbf7dfc0f19f0491f294b46561d89a94a01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03637",
    "kind": "arxiv",
    "version": 1
  }
}