Pith Number

pith:DKGGQ3VY

pith:2013:DKGGQ3VYRIU6L3WX3ASHOHTGUS

not attested not anchored not stored refs pending

Essential and retractable Galois connections

Septimiu Crivei

arxiv:1301.0422 v1 · 2013-01-03 · 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{DKGGQ3VYRIU6L3WX3ASHOHTGUS}

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	2026-05-18T03:37:19.675780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a8c686eb88a29e5eed7d824771e66a4b2e7d7e4364786cee6ec2326bf17cae7

Aliases

arxiv: 1301.0422 · arxiv_version: 1301.0422v1 · doi: 10.48550/arxiv.1301.0422 · pith_short_12: DKGGQ3VYRIU6 · pith_short_16: DKGGQ3VYRIU6L3WX · pith_short_8: DKGGQ3VY

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/DKGGQ3VYRIU6L3WX3ASHOHTGUS \
  | 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: 1a8c686eb88a29e5eed7d824771e66a4b2e7d7e4364786cee6ec2326bf17cae7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff1d8132668582950a6201e1590c7d8c6de234705130600cbc9f9fa227d06525",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-01-03T11:35:26Z",
    "title_canon_sha256": "13179d300badba1cdd2cf73cac04c413702aa13a16dbdc670f7fa538a0b3e42f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0422",
    "kind": "arxiv",
    "version": 1
  }
}