Pith Number

pith:EIEW45PY

pith:2012:EIEW45PYIZNHBGEINIC2PKGW4B

not attested not anchored not stored refs pending

From ring epimorphisms to universal localisations

Frederik Marks, Jorge Vitoria

arxiv:1207.4669 v1 · 2012-07-19 · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EIEW45PYIZNHBGEINIC2PKGW4B}

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	2026-05-18T03:50:36.168779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22096e75f8465a7098886a05a7a8d6e06a372e5a7fe581164d1c51be3c6c087e

Aliases

arxiv: 1207.4669 · arxiv_version: 1207.4669v1 · doi: 10.48550/arxiv.1207.4669 · pith_short_12: EIEW45PYIZNH · pith_short_16: EIEW45PYIZNHBGEI · pith_short_8: EIEW45PY

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/EIEW45PYIZNHBGEINIC2PKGW4B \
  | 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: 22096e75f8465a7098886a05a7a8d6e06a372e5a7fe581164d1c51be3c6c087e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a05645a34abee3be270657dd4865c7fc2a79db75ec3339eb59d3def12e95d5c1",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-07-19T13:54:24Z",
    "title_canon_sha256": "ed83597a63798287a673444ac4ee7d318b7c6711c7a32e575e277407d0979050"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4669",
    "kind": "arxiv",
    "version": 1
  }
}