Pith Number

pith:3AS5LK3L

pith:2013:3AS5LK3LC2TLVNRWMYNQKL6T7T

not attested not anchored not stored refs pending

The bi-graded structure of Symmetric Algebras with applications to Rees rings

Andrew Kustin, Bernd Ulrich, Claudia Polini

arxiv:1301.7106 v2 · 2013-01-29 · 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{3AS5LK3LC2TLVNRWMYNQKL6T7T}

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	2026-05-18T01:01:16.391636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d825d5ab6b16a6bab636661b052fd3fcc55771617fdd891bcc536a02f25bf09e

Aliases

arxiv: 1301.7106 · arxiv_version: 1301.7106v2 · doi: 10.48550/arxiv.1301.7106 · pith_short_12: 3AS5LK3LC2TL · pith_short_16: 3AS5LK3LC2TLVNRW · pith_short_8: 3AS5LK3L

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/3AS5LK3LC2TLVNRWMYNQKL6T7T \
  | 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: d825d5ab6b16a6bab636661b052fd3fcc55771617fdd891bcc536a02f25bf09e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d8249b0610cb0589d080c3c0e25b841918d6af3bf7a0c2333ab491960dbd816",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-01-29T23:58:20Z",
    "title_canon_sha256": "c1d1970e3ba4dadfe948f4ed15c59efeaabe70b341c5c9aa7e236d61acf23086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7106",
    "kind": "arxiv",
    "version": 2
  }
}