Pith Number

pith:IRYCV7ON

pith:2012:IRYCV7ON5PMQNQCMALG4X6X67I

not attested not anchored not stored refs pending

Generalized-Lush Spaces and the Mazur-Ulam Property

Dongni Tan, Rui Liu, Xujian Huang

arxiv:1210.7324 v1 · 2012-10-27 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IRYCV7ON5PMQNQCMALG4X6X67I}

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	2026-05-18T03:42:10.487408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44702afdcdebd906c04c02cdcbfafefa2881544bed85b1abe0399a7b73c5d4d7

Aliases

arxiv: 1210.7324 · arxiv_version: 1210.7324v1 · doi: 10.48550/arxiv.1210.7324 · pith_short_12: IRYCV7ON5PMQ · pith_short_16: IRYCV7ON5PMQNQCM · pith_short_8: IRYCV7ON

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/IRYCV7ON5PMQNQCMALG4X6X67I \
  | 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: 44702afdcdebd906c04c02cdcbfafefa2881544bed85b1abe0399a7b73c5d4d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d613bb4c28991ad10c90b477646091b697b7f3be5b0ed94053ea38154cbb8ed3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-10-27T14:24:01Z",
    "title_canon_sha256": "62d4bb8dff595323a484d7e1ba52624a982b12cccc07b3e6a3e7a9a74aeedd49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7324",
    "kind": "arxiv",
    "version": 1
  }
}