Pith Number

pith:CAOYYDTY

pith:2023:CAOYYDTYLMVOWC3HIL3NDOZTJW

not attested not anchored not stored refs pending

Curvature corrected tangent space-based approximation of manifold-valued data

Deanna Needell, Joyce Chew, Willem Diepeveen

arxiv:2306.00507 v1 · 2023-06-01 · math.NA · cs.NA · math.DG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CAOYYDTYLMVOWC3HIL3NDOZTJW}

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	2026-07-05T06:16:27.455798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

101d8c0e785b2aeb0b6742f6d1bb334d856f8db76b05b7bfc1f44ab70d5923a9

Aliases

arxiv: 2306.00507 · arxiv_version: 2306.00507v1 · doi: 10.48550/arxiv.2306.00507 · pith_short_12: CAOYYDTYLMVO · pith_short_16: CAOYYDTYLMVOWC3H · pith_short_8: CAOYYDTY

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/CAOYYDTYLMVOWC3HIL3NDOZTJW \
  | 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: 101d8c0e785b2aeb0b6742f6d1bb334d856f8db76b05b7bfc1f44ab70d5923a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf674886481a3590c78df97ecc45cc7b992bd5c081e2ba42c2c9c883ac644c74",
    "cross_cats_sorted": [
      "cs.NA",
      "math.DG",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-06-01T09:59:38Z",
    "title_canon_sha256": "abfbedf8c15be71c15f54589b0ca521c7eccc14f2c55075b2b84f313257629e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.00507",
    "kind": "arxiv",
    "version": 1
  }
}