Pith Number

pith:KBP2A7VX

pith:2015:KBP2A7VXDM3KDNHI36WKVIEY4E

not attested not anchored not stored refs pending

The Asymptotic Behavior of the Codimension Sequence of Affine G - Graded Algebras

Yuval Shpigelman

arxiv:1504.00373 v1 · 2015-04-01 · 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{KBP2A7VXDM3KDNHI36WKVIEY4E}

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	2026-05-18T02:19:43.445080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

505fa07eb71b36a1b4e8dfacaaa098e106153b468e295fbc75f1516b350f7cfe

Aliases

arxiv: 1504.00373 · arxiv_version: 1504.00373v1 · doi: 10.48550/arxiv.1504.00373 · pith_short_12: KBP2A7VXDM3K · pith_short_16: KBP2A7VXDM3KDNHI · pith_short_8: KBP2A7VX

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/KBP2A7VXDM3KDNHI36WKVIEY4E \
  | 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: 505fa07eb71b36a1b4e8dfacaaa098e106153b468e295fbc75f1516b350f7cfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11cf33f1159c059f11df6db6e36858a42c9931b2d34f00d60a7c458932db8520",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-04-01T20:07:19Z",
    "title_canon_sha256": "bb56c67ca0e6f8b3ae2b2629560dabb6956e7ff2f2e41cd1ff24da9b9c7417c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00373",
    "kind": "arxiv",
    "version": 1
  }
}