Pith Number

pith:N7E4WWIR

pith:2017:N7E4WWIR3JQ2UGLQCFIPJTCNSQ

not attested not anchored not stored refs pending

The expansion $\star$ mod $\bar{o}(\hbar^4)$ and computer-assisted proof schemes in the Kontsevich deformation quantization

Arthemy Kiselev, Ricardo Buring

arxiv:1702.00681 v4 · 2017-02-02 · math.CO · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N7E4WWIR3JQ2UGLQCFIPJTCNSQ}

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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	2026-07-05T05:26:30.561880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fc9cb5911da61aa19701150f4cc4d940287f3257039bccd2b7e286a42c1ec43

Aliases

arxiv: 1702.00681 · arxiv_version: 1702.00681v4 · doi: 10.48550/arxiv.1702.00681 · pith_short_12: N7E4WWIR3JQ2 · pith_short_16: N7E4WWIR3JQ2UGLQ · pith_short_8: N7E4WWIR

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/N7E4WWIR3JQ2UGLQCFIPJTCNSQ \
  | 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: 6fc9cb5911da61aa19701150f4cc4d940287f3257039bccd2b7e286a42c1ec43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d880e7e841a9b63d98c6328efc38cda69418b0091adedca6a03abd5e65c9f3e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-02T13:52:04Z",
    "title_canon_sha256": "ad46f5c50db43c28b793fa8efcbdac29093e090f36700678bd39d4142521038f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00681",
    "kind": "arxiv",
    "version": 4
  }
}