Pith Number

pith:Z7H3ZMCT

pith:2016:Z7H3ZMCTCAERQD2ZOOA5FYRFFK

not attested not anchored not stored refs pending

Global Weak Rigidity of the Gauss-Codazzi-Ricci Equations and Isometric Immersions of Riemannian Manifolds with Lower Regularity

Gui-Qiang G. Chen, Siran Li

arxiv:1607.06862 v2 · 2016-07-22 · math.AP · math.DG · math.FA · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7H3ZMCTCAERQD2ZOOA5FYRFFK}

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	2026-05-18T00:36:41.242637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfcfbcb0531009180f597381d2e2252abf17dafba3ac06d941df6cb4b0a85563

Aliases

arxiv: 1607.06862 · arxiv_version: 1607.06862v2 · doi: 10.48550/arxiv.1607.06862 · pith_short_12: Z7H3ZMCTCAER · pith_short_16: Z7H3ZMCTCAERQD2Z · pith_short_8: Z7H3ZMCT

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/Z7H3ZMCTCAERQD2ZOOA5FYRFFK \
  | 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: cfcfbcb0531009180f597381d2e2252abf17dafba3ac06d941df6cb4b0a85563

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86881df2d5a7a95ca7a72b41765da0b5b6bd3a660640a61ececc244548826ac5",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-22T23:42:18Z",
    "title_canon_sha256": "8c6ad75f8ee20c261e57058fe2993901e7ccacc25f2d3b64cf6571a376e30b93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06862",
    "kind": "arxiv",
    "version": 2
  }
}