Pith Number

pith:MCRXJ5XZ

pith:2012:MCRXJ5XZ6SB67PVGXOOGYQORMP

not attested not anchored not stored refs pending

A Note on The Mazur-Ulam Property of Almost-CL-spaces

Dongni Tan, Rui Liu

arxiv:1209.0055 v1 · 2012-09-01 · 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{MCRXJ5XZ6SB67PVGXOOGYQORMP}

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	2026-05-18T03:46:30.143729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60a374f6f9f483efbea6bb9c6c41d163df6c6cea994d9426ca9fc560b867795b

Aliases

arxiv: 1209.0055 · arxiv_version: 1209.0055v1 · doi: 10.48550/arxiv.1209.0055 · pith_short_12: MCRXJ5XZ6SB6 · pith_short_16: MCRXJ5XZ6SB67PVG · pith_short_8: MCRXJ5XZ

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/MCRXJ5XZ6SB67PVGXOOGYQORMP \
  | 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: 60a374f6f9f483efbea6bb9c6c41d163df6c6cea994d9426ca9fc560b867795b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "927dec3b70108d0e1a24fd3e76f0f21c7a6f3e33d8c5bdf4026454588f7eccdc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-01T04:41:23Z",
    "title_canon_sha256": "a1bf9e083af085dbc2b229d1ee7e1fd5397d5276865892003e9b4d2c3b22dbda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0055",
    "kind": "arxiv",
    "version": 1
  }
}