Pith Number

pith:V65537UZ

pith:2012:V65537UZHKOC6BT6G6FCOLF3WA

not attested not anchored not stored refs pending

Metric spaces admitting only trivial weak contractions

Rich\'ard Balka

arxiv:1202.1539 v3 · 2012-02-07 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V65537UZHKOC6BT6G6FCOLF3WA}

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	2026-05-18T02:41:26.421150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afbbddfe993a9c2f067e378a272cbbb02e8d68d5425f830c25a72c82c8f59a44

Aliases

arxiv: 1202.1539 · arxiv_version: 1202.1539v3 · doi: 10.48550/arxiv.1202.1539 · pith_short_12: V65537UZHKOC · pith_short_16: V65537UZHKOC6BT6 · pith_short_8: V65537UZ

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/V65537UZHKOC6BT6G6FCOLF3WA \
  | 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: afbbddfe993a9c2f067e378a272cbbb02e8d68d5425f830c25a72c82c8f59a44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cdcfba56e73ec82f97e21afa5fffd17a13ca45bb8ad36da71bace7ef92c8217",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-02-07T21:15:25Z",
    "title_canon_sha256": "01b36490dbb09b263a8baa5ed43a44a8d112987c923e26077ad4fbd1f84363ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1539",
    "kind": "arxiv",
    "version": 3
  }
}