Pith Number

pith:I77WSHSC

pith:2012:I77WSHSCTA3SGTGTO3PSZ45WTB

not attested not anchored not stored refs pending

Firmly nonexpansive mappings in classes of geodesic spaces

David Ariza-Ruiz, Genaro Lopez-Acedo, Laurentiu Leustean

arxiv:1203.1432 v3 · 2012-03-07 · math.FA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I77WSHSCTA3SGTGTO3PSZ45WTB}

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	2026-05-18T03:40:14.265719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47ff691e429837234cd376df2cf3b6986779dd3091061afc42e5bc46e950c744

Aliases

arxiv: 1203.1432 · arxiv_version: 1203.1432v3 · doi: 10.48550/arxiv.1203.1432 · pith_short_12: I77WSHSCTA3S · pith_short_16: I77WSHSCTA3SGTGT · pith_short_8: I77WSHSC

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/I77WSHSCTA3SGTGTO3PSZ45WTB \
  | 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: 47ff691e429837234cd376df2cf3b6986779dd3091061afc42e5bc46e950c744

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f89866f6201f26eb01f95d727d8e732952d71ec7d6308a141a53104cf30dd02b",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-03-07T10:44:22Z",
    "title_canon_sha256": "db638e91434c639542f42b58d73900edd28048666b4df819efe6d92f88ea8a75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1432",
    "kind": "arxiv",
    "version": 3
  }
}