Pith Number

pith:2ALHEQQ5

pith:2010:2ALHEQQ5JASN7OV3YW2WBFHWUV

not attested not anchored not stored refs pending

Equivariant total ring of fractions and factoriality of rings generated by semiinvariants

Mitsuyasu Hashimoto

arxiv:1009.5152 v2 · 2010-09-27 · 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{2ALHEQQ5JASN7OV3YW2WBFHWUV}

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	2026-05-18T04:34:18.057540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d01672421d4824dfbabbc5b56094f6a571bf9a44aa10f9a50181034119d356f2

Aliases

arxiv: 1009.5152 · arxiv_version: 1009.5152v2 · doi: 10.48550/arxiv.1009.5152 · pith_short_12: 2ALHEQQ5JASN · pith_short_16: 2ALHEQQ5JASN7OV3 · pith_short_8: 2ALHEQQ5

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/2ALHEQQ5JASN7OV3YW2WBFHWUV \
  | 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: d01672421d4824dfbabbc5b56094f6a571bf9a44aa10f9a50181034119d356f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84401f7e17dc4ea1f7f8c2bd92b41dd461fac810312dcd0d6424a429326da7cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-09-27T03:54:39Z",
    "title_canon_sha256": "49ad81e51d78604e9a4e4405f930c71c5d364b6c8fda05ff6ca6b772986ae4e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5152",
    "kind": "arxiv",
    "version": 2
  }
}