Pith Number

pith:QAQCXLCU

pith:2011:QAQCXLCUBFWMU6UR35H3OVC3NV

not attested not anchored not stored refs pending

Multiplicity in difference geometry

Ivan Tomasic

arxiv:1112.0804 v1 · 2011-12-04 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QAQCXLCUBFWMU6UR35H3OVC3NV}

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	2026-05-18T04:07:04.899593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80202bac54096cca7a91df4fb7545b6d437f3d24ef901e1057f00af7b258b5ca

Aliases

arxiv: 1112.0804 · arxiv_version: 1112.0804v1 · doi: 10.48550/arxiv.1112.0804 · pith_short_12: QAQCXLCUBFWM · pith_short_16: QAQCXLCUBFWMU6UR · pith_short_8: QAQCXLCU

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/QAQCXLCUBFWMU6UR35H3OVC3NV \
  | 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: 80202bac54096cca7a91df4fb7545b6d437f3d24ef901e1057f00af7b258b5ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56ac237d0ee18eeac5921fa3110e5c5a9f63abb9b5c061f56fb1e8bb70294242",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-04T22:50:21Z",
    "title_canon_sha256": "789336639a6337b23611f69f5c937f75d89a96182b630cc5d4ce20fcca2cd913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0804",
    "kind": "arxiv",
    "version": 1
  }
}