Pith Number

pith:HQBYGEEW

pith:2013:HQBYGEEWF4RL2TRUZ43BK5E5BP

not attested not anchored not stored refs pending

Desingularization Explains Order-Degree Curves for Ore Operators

Manuel Kauers, Maximilian Jaroschek, Michael F. Singer, Shaoshi Chen

arxiv:1301.0917 v1 · 2013-01-05 · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQBYGEEWF4RL2TRUZ43BK5E5BP}

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	2026-05-18T03:37:07.402767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c038310962f22bd4e34cf3615749d0bf9d3275b12ecc5a29fd042f39e952be6

Aliases

arxiv: 1301.0917 · arxiv_version: 1301.0917v1 · doi: 10.48550/arxiv.1301.0917 · pith_short_12: HQBYGEEWF4RL · pith_short_16: HQBYGEEWF4RL2TRU · pith_short_8: HQBYGEEW

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/HQBYGEEWF4RL2TRUZ43BK5E5BP \
  | 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: 3c038310962f22bd4e34cf3615749d0bf9d3275b12ecc5a29fd042f39e952be6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75c0d9013d0f3d105475ee3763b619fd5b165bea8b77c1831a8f38f7a054866b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2013-01-05T16:45:53Z",
    "title_canon_sha256": "a6f6bf9fd3e4f4de8cc83dad9919b1cbbcd0ed889dd7b9f790f7192555f62b90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0917",
    "kind": "arxiv",
    "version": 1
  }
}