Pith Number

pith:G5RBXEFS

pith:2014:G5RBXEFSCT6OU7SRWPK22Q2R4Y

not attested not anchored not stored refs pending

Fracpairs and fractions over a reduced commutative ring

Alban Ponse, Jan A. Bergstra

arxiv:1411.4410 v2 · 2014-11-17 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5RBXEFSCT6OU7SRWPK22Q2R4Y}

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

Fracterm Calculus for Partial Meadows

Receipt and verification

First computed	2026-05-17T23:49:53.480112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37621b90b214fcea7e51b3d5ad4351e62a23e42bbe64f6cac0f7c56270b9bd7f

Aliases

arxiv: 1411.4410 · arxiv_version: 1411.4410v2 · doi: 10.48550/arxiv.1411.4410 · pith_short_12: G5RBXEFSCT6O · pith_short_16: G5RBXEFSCT6OU7SR · pith_short_8: G5RBXEFS

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/G5RBXEFSCT6OU7SRWPK22Q2R4Y \
  | 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: 37621b90b214fcea7e51b3d5ad4351e62a23e42bbe64f6cac0f7c56270b9bd7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ada7b0de3e2f7c9a9e135dc0e3532bc324ef4dcf9a3d7d50cb82fa6368a2464",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-11-17T10:05:09Z",
    "title_canon_sha256": "0709eeb2b3ab3ed7678a7a700a5110d804e20f77d60d61a11fde733fc1631da3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4410",
    "kind": "arxiv",
    "version": 2
  }
}