Pith Number

pith:FXW23B4N

pith:2013:FXW23B4NDFT53VMZVKZDSSDGF5

not attested not anchored not stored refs pending

The Mazur-Ulam theorem

Bogdan Nica

arxiv:1306.2380 v1 · 2013-06-10 · 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{FXW23B4NDFT53VMZVKZDSSDGF5}

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	2026-05-18T03:21:21.167759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dedad878d1967ddd599aab23948662f6e025808824510eb60567c55eed560ac

Aliases

arxiv: 1306.2380 · arxiv_version: 1306.2380v1 · doi: 10.48550/arxiv.1306.2380 · pith_short_12: FXW23B4NDFT5 · pith_short_16: FXW23B4NDFT53VMZ · pith_short_8: FXW23B4N

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/FXW23B4NDFT53VMZVKZDSSDGF5 \
  | 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: 2dedad878d1967ddd599aab23948662f6e025808824510eb60567c55eed560ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11f6501f1151890d3e209e6cdf9b05f4bef4f1afd7caee05dcba7bde44785de2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-06-10T23:10:12Z",
    "title_canon_sha256": "d826258ebc545330b795c54511cb4c7513d58662353421606d6baec4e7eeacdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2380",
    "kind": "arxiv",
    "version": 1
  }
}