Pith Number

pith:PEXV7XYT

pith:2012:PEXV7XYTZZFTMRDVOT3M5RCTXK

not attested not anchored not stored refs pending

Differential Type Operators and Gr\"obner-Shirshov Bases

Li Guo, Ronghua Zhang, William Y. Sit

arxiv:1210.1815 v1 · 2012-10-05 · 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{PEXV7XYTZZFTMRDVOT3M5RCTXK}

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	2026-05-18T03:31:16.913854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

792f5fdf13ce4b36447574f6cec453bab59ebfb9b4c38e1c1a57fca7a677513e

Aliases

arxiv: 1210.1815 · arxiv_version: 1210.1815v1 · doi: 10.48550/arxiv.1210.1815 · pith_short_12: PEXV7XYTZZFT · pith_short_16: PEXV7XYTZZFTMRDV · pith_short_8: PEXV7XYT

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/PEXV7XYTZZFTMRDVOT3M5RCTXK \
  | 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: 792f5fdf13ce4b36447574f6cec453bab59ebfb9b4c38e1c1a57fca7a677513e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "820ab45235cc4a3dde6f6032514ffb30a18aecff4ecd29023a47edd67bf7671e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-10-05T17:13:22Z",
    "title_canon_sha256": "58c10d05b910eefcc3171bc1892b3445a23c304f266e4384fea2eb955f6ff204"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1815",
    "kind": "arxiv",
    "version": 1
  }
}