Pith Number

pith:WLMABUG2

pith:2014:WLMABUG2Z2OGP2F75EFYYNF6YE

not attested not anchored not stored refs pending

Rigidity theorems for submetries in positive curvature

Karsten Grove, Xiaoyang Chen

arxiv:1404.3777 v1 · 2014-04-14 · 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{WLMABUG2Z2OGP2F75EFYYNF6YE}

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	2026-05-18T02:54:13.640449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2d800d0dace9c67e8bfe90b8c34bec100d500458fe204f505173139d62ddf06

Aliases

arxiv: 1404.3777 · arxiv_version: 1404.3777v1 · doi: 10.48550/arxiv.1404.3777 · pith_short_12: WLMABUG2Z2OG · pith_short_16: WLMABUG2Z2OGP2F7 · pith_short_8: WLMABUG2

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/WLMABUG2Z2OGP2F75EFYYNF6YE \
  | 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: b2d800d0dace9c67e8bfe90b8c34bec100d500458fe204f505173139d62ddf06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e6fccf5c601728b45d8f69798fc9a12644a7b70650879a132b12adc98b3fe32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-04-14T23:25:35Z",
    "title_canon_sha256": "9394b51eccd94705f653715b16afb217a3ebb75ec462dc320d8e01a1c6a605b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3777",
    "kind": "arxiv",
    "version": 1
  }
}