Pith Number

pith:4IALJUNL

pith:2022:4IALJUNL2SCBHV5DFCPCL6VZDO

not attested not anchored not stored refs pending

Ulam floating functions

Chunyan Liu, Deping Ye, Elisabeth M. Werner, Ning Zhang

arxiv:2203.09563 v1 · 2022-03-17 · math.MG · 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{4IALJUNL2SCBHV5DFCPCL6VZDO}

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	2026-07-05T04:06:20.692064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e200b4d1abd48413d7a3289e25fab91bbefc311055b7a17313f1b2aec808e2c7

Aliases

arxiv: 2203.09563 · arxiv_version: 2203.09563v1 · doi: 10.48550/arxiv.2203.09563 · pith_short_12: 4IALJUNL2SCB · pith_short_16: 4IALJUNL2SCBHV5D · pith_short_8: 4IALJUNL

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/4IALJUNL2SCBHV5DFCPCL6VZDO \
  | 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: e200b4d1abd48413d7a3289e25fab91bbefc311055b7a17313f1b2aec808e2c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f0a5b27971089248600aad9dbb8d50e32b867841418926b0ce43dcc02d61254",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2022-03-17T18:54:33Z",
    "title_canon_sha256": "eb0cfad191c877478e0f47e83d668c4ebcb165434de68a2d3a748c46a1f4f695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.09563",
    "kind": "arxiv",
    "version": 1
  }
}