Pith Number

pith:UDPGCBCG

pith:2016:UDPGCBCGXPDKZAFYSNPHYZJMQZ

not attested not anchored not stored refs pending

Torsors for Difference Algebraic Groups

Annette Bachmayr, Michael Wibmer

arxiv:1607.07035 v1 · 2016-07-24 · math.AG · math.AC · 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{UDPGCBCGXPDKZAFYSNPHYZJMQZ}

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	2026-05-18T01:10:35.073348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0de610446bbc6ac80b8935e7c652c864025a5e12637970450953bfaf726adde

Aliases

arxiv: 1607.07035 · arxiv_version: 1607.07035v1 · doi: 10.48550/arxiv.1607.07035 · pith_short_12: UDPGCBCGXPDK · pith_short_16: UDPGCBCGXPDKZAFY · pith_short_8: UDPGCBCG

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/UDPGCBCGXPDKZAFYSNPHYZJMQZ \
  | 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: a0de610446bbc6ac80b8935e7c652c864025a5e12637970450953bfaf726adde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b545488d3a13e1ccfc03af5bb9409d8c788e90bf9dc82d2004fe5f603b12d3cd",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-24T12:13:00Z",
    "title_canon_sha256": "e503e16a462ffb3f0c4126e41e4827db1bb260745ead85b158f3f1ba351af1f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07035",
    "kind": "arxiv",
    "version": 1
  }
}