Pith Number

pith:FO4P57IB

pith:2019:FO4P57IBD6Y5IJFNT22IHBEYGK

not attested not anchored not stored refs pending

Polynomials as spans

Ross Street

arxiv:1903.03890 v3 · 2019-03-10 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FO4P57IBD6Y5IJFNT22IHBEYGK}

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.

Cited by

1 paper in Pith

Polynomials in homotopy type theory as a Kleisli category

Receipt and verification

First computed	2026-07-05T00:40:54.588336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bb8fefd011fb1d424ad9eb4838498328a45a601c9fa05a35a67d72c42fa0127

Aliases

arxiv: 1903.03890 · arxiv_version: 1903.03890v3 · doi: 10.48550/arxiv.1903.03890 · pith_short_12: FO4P57IBD6Y5 · pith_short_16: FO4P57IBD6Y5IJFN · pith_short_8: FO4P57IB

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/FO4P57IBD6Y5IJFNT22IHBEYGK \
  | 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: 2bb8fefd011fb1d424ad9eb4838498328a45a601c9fa05a35a67d72c42fa0127

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b8a39ad481b1f1b06dfdce8e3df9d782f9a4df8621d3b166690977ba7d4d376",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-03-10T00:06:35Z",
    "title_canon_sha256": "c1f4dcd367467a5fd8642d1f050211247f58a7ff891a34fc0082f064eeb3cda1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03890",
    "kind": "arxiv",
    "version": 3
  }
}