Pith Number

pith:GHCEAFZL

pith:2009:GHCEAFZLARQOIMDIOFCAJ5PK23

not attested not anchored not stored refs pending

Differential Operators and the Wheels Power Series

Andrew Kricker

arxiv:0907.4563 v1 · 2009-07-27 · 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{GHCEAFZLARQOIMDIOFCAJ5PK23}

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	2026-05-18T02:41:51.206550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31c440172b0460e43068714404f5ead6ce67085f4b6af46e8db610b242c9a697

Aliases

arxiv: 0907.4563 · arxiv_version: 0907.4563v1 · doi: 10.48550/arxiv.0907.4563 · pith_short_12: GHCEAFZLARQO · pith_short_16: GHCEAFZLARQOIMDI · pith_short_8: GHCEAFZL

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/GHCEAFZLARQOIMDIOFCAJ5PK23 \
  | 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: 31c440172b0460e43068714404f5ead6ce67085f4b6af46e8db610b242c9a697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03ce4631c58dfb4b6d09768a1f06b39f127880575707535d6c6e4bc639a4a905",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-07-27T08:31:33Z",
    "title_canon_sha256": "570774453ed6ca6615072fcdda14fe61a16b717450e65a72f4fd564de1b0d10d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4563",
    "kind": "arxiv",
    "version": 1
  }
}