Pith Number

pith:KC3PW2BK

pith:2022:KC3PW2BKE7NJVIWKCIT7GCJA4C

not attested not anchored not stored refs pending

Fiber Bundle Morphisms as a Framework for Modeling Many-to-Many Maps

Charles Godfrey, Colby Wight, Elizabeth Coda, Henry Kvinge, Keerti Kappagantula, Loc Truong, Nico Courts, Tegan Emerson, Woongjo Choi

arxiv:2203.08189 v2 · 2022-03-15 · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KC3PW2BKE7NJVIWKCIT7GCJA4C}

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	2026-07-05T04:18:51.573004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50b6fb682a27da9aa2ca1227f30920e084b439d174b9493a3cbd630ca0dcaf1e

Aliases

arxiv: 2203.08189 · arxiv_version: 2203.08189v2 · doi: 10.48550/arxiv.2203.08189 · pith_short_12: KC3PW2BKE7NJ · pith_short_16: KC3PW2BKE7NJVIWK · pith_short_8: KC3PW2BK

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/KC3PW2BKE7NJVIWKCIT7GCJA4C \
  | 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: 50b6fb682a27da9aa2ca1227f30920e084b439d174b9493a3cbd630ca0dcaf1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c475060640a9ca04be1772cbb93ed36ca4edb78127bb3a0daad2353fa2e9281d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-03-15T18:38:56Z",
    "title_canon_sha256": "622770c7b5c20343b368fca0b718d47e44d3111e65e7b6c2bdc4cc3acef47da6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.08189",
    "kind": "arxiv",
    "version": 2
  }
}