Pith Number

pith:GSH5D7GR

pith:2014:GSH5D7GRZ6W34CM24J3Q5IXU76

not attested not anchored not stored refs pending

Formulations of the F-functional calculus and some consequences

Fabrizio Colombo, Jonathan Gantner

arxiv:1403.3775 v1 · 2014-03-15 · 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{GSH5D7GRZ6W34CM24J3Q5IXU76}

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	2026-05-18T02:56:13.478075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

348fd1fcd1cfadbe099ae2770ea2f4ffb50ea2a88d0d14e322e0625191382236

Aliases

arxiv: 1403.3775 · arxiv_version: 1403.3775v1 · doi: 10.48550/arxiv.1403.3775 · pith_short_12: GSH5D7GRZ6W3 · pith_short_16: GSH5D7GRZ6W34CM2 · pith_short_8: GSH5D7GR

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/GSH5D7GRZ6W34CM24J3Q5IXU76 \
  | 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: 348fd1fcd1cfadbe099ae2770ea2f4ffb50ea2a88d0d14e322e0625191382236

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88474d77dbecff81577bf72fd22807a9cdf9620943f8c78725239f148ecf6b0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-03-15T09:36:03Z",
    "title_canon_sha256": "e866070396f9d84d0695bf85c998c66cf9cd0a61a204446e876d07caa5112716"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3775",
    "kind": "arxiv",
    "version": 1
  }
}