Pith Number

pith:IGIQUJBY

pith:2012:IGIQUJBYNQGMMQKNKJPUD3BW4L

not attested not anchored not stored refs pending

Asymptotic geometry of Banach spaces and uniform quotient maps

Denka Kutzarova, G. Lancien, N. L. Randrianarivony, S. J. Dilworth

arxiv:1209.0501 v1 · 2012-09-03 · math.FA · 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{IGIQUJBYNQGMMQKNKJPUD3BW4L}

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	2026-05-18T03:46:17.986479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41910a24386c0cc6414d525f41ec36e2d5ce6c43508ceaa904b4acf88b9b13ad

Aliases

arxiv: 1209.0501 · arxiv_version: 1209.0501v1 · doi: 10.48550/arxiv.1209.0501 · pith_short_12: IGIQUJBYNQGM · pith_short_16: IGIQUJBYNQGMMQKN · pith_short_8: IGIQUJBY

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/IGIQUJBYNQGMMQKNKJPUD3BW4L \
  | 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: 41910a24386c0cc6414d525f41ec36e2d5ce6c43508ceaa904b4acf88b9b13ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f012b6182676c8a915f0c70ca94742b2ca18e5f5f7c99abe31aa152ed1580b4",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-03T23:24:52Z",
    "title_canon_sha256": "134ea601b4d82b219b8fc0cb559530430dc6d544bf076d48532105465a1eb2c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0501",
    "kind": "arxiv",
    "version": 1
  }
}