Pith Number

pith:DMKA2D3G

pith:2014:DMKA2D3GRXHDULJUAQWMXF32UO

not attested not anchored not stored refs pending

Torification of diagonalizable group actions on toroidal schemes

Dan Abramovich, Michael Temkin

arxiv:1407.2629 v4 · 2014-07-09 · 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{DMKA2D3GRXHDULJUAQWMXF32UO}

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	2026-05-18T01:11:55.384467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b140d0f668dce3a2d34042ccb977aa3aaaaf438082e556cac9a3d9749eedcc0

Aliases

arxiv: 1407.2629 · arxiv_version: 1407.2629v4 · doi: 10.48550/arxiv.1407.2629 · pith_short_12: DMKA2D3GRXHD · pith_short_16: DMKA2D3GRXHDULJU · pith_short_8: DMKA2D3G

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/DMKA2D3GRXHDULJUAQWMXF32UO \
  | 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: 1b140d0f668dce3a2d34042ccb977aa3aaaaf438082e556cac9a3d9749eedcc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1596b15dc31526d004ffc75f7b952c12dc94488aebec418be14ad8bbbf17b591",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-07-09T20:30:23Z",
    "title_canon_sha256": "b6dafb56eb21496bff97960a8c7984df95d81d7868a9d5cdff93352368933a13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2629",
    "kind": "arxiv",
    "version": 4
  }
}