Pith Number

pith:UJQDTQVO

pith:2010:UJQDTQVOCRCFLQD47ERXEZPWXQ

not attested not anchored not stored refs pending

Separating invariants for the basic G_a-actions

Jonathan Elmer, Martin Kohls

arxiv:1011.2169 v1 · 2010-11-09 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJQDTQVOCRCFLQD47ERXEZPWXQ}

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	2026-05-18T03:35:54.540237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a26039c2ae144455c07cf9237265f6bc0e88ea1cf8af5f7ef4882d1b2650215c

Aliases

arxiv: 1011.2169 · arxiv_version: 1011.2169v1 · doi: 10.48550/arxiv.1011.2169 · pith_short_12: UJQDTQVOCRCF · pith_short_16: UJQDTQVOCRCFLQD4 · pith_short_8: UJQDTQVO

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/UJQDTQVOCRCFLQD47ERXEZPWXQ \
  | 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: a26039c2ae144455c07cf9237265f6bc0e88ea1cf8af5f7ef4882d1b2650215c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddddd2784820fb40a8cfacf7efad48fdd85f57d230dedb7eda7685ca3e7f1566",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-11-09T18:33:04Z",
    "title_canon_sha256": "288c7f256858e0cc06ca7a3f73d38a6ea02043fb4ec4b15462286f850b2039f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2169",
    "kind": "arxiv",
    "version": 1
  }
}