Pith Number

pith:MMQAY3I7

pith:2021:MMQAY3I7LAJSKB34IZQKVRXC7G

not attested not anchored not stored refs pending

A Hierarchical Geodesic Model for Longitudinal Analysis on Manifolds

Christoph von Tycowicz, Esfandiar Nava-Yazdani, Hans-Christian Hege

arxiv:2111.15371 v3 · 2021-11-30 · stat.ME · math.DG · math.MG · math.OC · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMQAY3I7LAJSKB34IZQKVRXC7G}

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	2026-07-05T04:01:57.958831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63200c6d1f581325077c4660aac6e2f995d3e129c0b462f2c996ef71eafbea4e

Aliases

arxiv: 2111.15371 · arxiv_version: 2111.15371v3 · doi: 10.48550/arxiv.2111.15371 · pith_short_12: MMQAY3I7LAJS · pith_short_16: MMQAY3I7LAJSKB34 · pith_short_8: MMQAY3I7

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/MMQAY3I7LAJSKB34IZQKVRXC7G \
  | 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: 63200c6d1f581325077c4660aac6e2f995d3e129c0b462f2c996ef71eafbea4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df14a1382abb630be916d8ac9e9bdf7d9592b4322792a2aa2d04435eb2d08f2f",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG",
      "math.OC",
      "stat.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2021-11-30T13:16:43Z",
    "title_canon_sha256": "af19e7f338f9d9da51466eb77ded7156601b0ea4322b79dba1c29e06e532e08e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.15371",
    "kind": "arxiv",
    "version": 3
  }
}