Pith Number

pith:TFXDYUDE

pith:2015:TFXDYUDESDI4G3EHKL6LUOSIP3

not attested not anchored not stored refs pending

High-dimensional metric-measure limit of Stiefel and Grassmann manifolds

Asuka Takatsu, Takashi Shioya

arxiv:1507.01063 v2 · 2015-07-04 · 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{TFXDYUDESDI4G3EHKL6LUOSIP3}

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	2026-05-18T01:36:47.687695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

996e3c506490d1c36c8752fcba3a487ec79bd46477f0e7124e6156f2b902efe1

Aliases

arxiv: 1507.01063 · arxiv_version: 1507.01063v2 · doi: 10.48550/arxiv.1507.01063 · pith_short_12: TFXDYUDESDI4 · pith_short_16: TFXDYUDESDI4G3EH · pith_short_8: TFXDYUDE

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/TFXDYUDESDI4G3EHKL6LUOSIP3 \
  | 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: 996e3c506490d1c36c8752fcba3a487ec79bd46477f0e7124e6156f2b902efe1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99d7a47b8d0df53d6cfbfa4dd0314e33ded4dfd327c8d46cff7cfbb6264ca03c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-07-04T05:01:50Z",
    "title_canon_sha256": "40bf9c2f213368d30a90e2a9a1d56000fe7c77cf7830bf470b8a31b5ba79f0a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01063",
    "kind": "arxiv",
    "version": 2
  }
}