Pith Number

pith:5G5ZXWK5

pith:2012:5G5ZXWK5LIQXMFXDUDG6YIZY2U

not attested not anchored not stored refs pending

Generalized 3-circular projections in some Banach spaces

A. B. Abubaker, S. Dutta

arxiv:1204.2360 v1 · 2012-04-11 · 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{5G5ZXWK5LIQXMFXDUDG6YIZY2U}

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	2026-05-18T03:58:05.504139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9bb9bd95d5a217616e3a0cdec2338d53daa86227dcb2a191b9841d6231c00f2

Aliases

arxiv: 1204.2360 · arxiv_version: 1204.2360v1 · doi: 10.48550/arxiv.1204.2360 · pith_short_12: 5G5ZXWK5LIQX · pith_short_16: 5G5ZXWK5LIQXMFXD · pith_short_8: 5G5ZXWK5

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/5G5ZXWK5LIQXMFXDUDG6YIZY2U \
  | 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: e9bb9bd95d5a217616e3a0cdec2338d53daa86227dcb2a191b9841d6231c00f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cce46e9c55ea42096ee5f97b9df66df07c673ad7b8fe9f14e01e87abc06549c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-11T07:18:03Z",
    "title_canon_sha256": "d4aeb5707a593c6b7cb03babcd934273d47bf85278ca4b09c929295bb9948ef3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2360",
    "kind": "arxiv",
    "version": 1
  }
}