Pith Number

pith:GCOYBD73

pith:2012:GCOYBD73NHQQMPQLV6HSZUVOI6

not attested not anchored not stored refs pending

Asymptotic behavior of averaged and firmly nonexpansive mappings in geodesic spaces

Adriana Nicolae

arxiv:1210.2105 v2 · 2012-10-07 · 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{GCOYBD73NHQQMPQLV6HSZUVOI6}

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	2026-05-18T03:11:36.098915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

309d808ffb69e1063e0baf8f2cd2ae478b2dbc13618d039851c4f7965e1c9064

Aliases

arxiv: 1210.2105 · arxiv_version: 1210.2105v2 · doi: 10.48550/arxiv.1210.2105 · pith_short_12: GCOYBD73NHQQ · pith_short_16: GCOYBD73NHQQMPQL · pith_short_8: GCOYBD73

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/GCOYBD73NHQQMPQLV6HSZUVOI6 \
  | 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: 309d808ffb69e1063e0baf8f2cd2ae478b2dbc13618d039851c4f7965e1c9064

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a2974df79b14d24072106a069c2795f2acd300fe9a41b3ce4b3fec100b4ddb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-10-07T21:14:13Z",
    "title_canon_sha256": "3358eb505e6748b7ebc4edde4a63a9c50d5f451276169d5d14fb9e53fc8ae840"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2105",
    "kind": "arxiv",
    "version": 2
  }
}