Pith Number

pith:VGCP5IBP

pith:1991:VGCP5IBPGOTVQKL3TYTNRC6G6K

not attested not anchored not stored refs pending

Analytic Disks in Fibers over the Unit Ball of a Banach Space

B. J. Cole, T. W. Gamelin, William B. Johnson

arxiv:math/9201234 v1 · 1991-10-11 · 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{VGCP5IBPGOTVQKL3TYTNRC6G6K}

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	2026-05-18T01:05:54.663896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a984fea02f33a758297b9e26d88bc6f29c311e648cda586dbb81947beacb1a33

Aliases

arxiv: math/9201234 · arxiv_version: math/9201234v1 · doi: 10.48550/arxiv.math/9201234 · pith_short_12: VGCP5IBPGOTV · pith_short_16: VGCP5IBPGOTVQKL3 · pith_short_8: VGCP5IBP

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/VGCP5IBPGOTVQKL3TYTNRC6G6K \
  | 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: a984fea02f33a758297b9e26d88bc6f29c311e648cda586dbb81947beacb1a33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9f42d0387d8d91ca9bbdf62e8224f6075b4c740da905d29a22340dd5b07a138",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1991-10-11T14:49:01Z",
    "title_canon_sha256": "9ad8adb364985b6913d315d43a06e54b4c18ecdb84d0ad4af556bfeb150ab846"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9201234",
    "kind": "arxiv",
    "version": 1
  }
}