Pith Number

pith:UFFXMUIM

pith:2014:UFFXMUIMYMORGHODXRYYZWG2NL

not attested not anchored not stored refs pending

Combinatorics of Bi-Freeness with Amalgamation

Brent Nelson, Ian Charlesworth, Paul Skoufranis

arxiv:1408.3251 v1 · 2014-08-14 · math.OA · 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{UFFXMUIMYMORGHODXRYYZWG2NL}

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	2026-05-18T01:55:59.950779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a14b76510cc31d131dc3bc718cd8da6ae8adc18816d2cfd347ed72ed5b3c4a6b

Aliases

arxiv: 1408.3251 · arxiv_version: 1408.3251v1 · doi: 10.48550/arxiv.1408.3251 · pith_short_12: UFFXMUIMYMOR · pith_short_16: UFFXMUIMYMORGHOD · pith_short_8: UFFXMUIM

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/UFFXMUIMYMORGHODXRYYZWG2NL \
  | 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: a14b76510cc31d131dc3bc718cd8da6ae8adc18816d2cfd347ed72ed5b3c4a6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4268b2e202c8444b7cf0ef33ab09efdd75cc3d9aa3759dfbaf35e4f7e493f07e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-08-14T11:18:19Z",
    "title_canon_sha256": "0171824eff9ddc0f3728ac1d235372fd3b01ebca4d5ea8a3b6fdc5ef01c0474d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3251",
    "kind": "arxiv",
    "version": 1
  }
}