Pith Number

pith:X6QFBVOL

pith:2011:X6QFBVOLTCANAM45LFJQ2STDVW

not attested not anchored not stored refs pending

Asymptotic behavior of dimensions of syzygies

Kristen A. Beck, Micah J. Leamer

arxiv:1110.4582 v1 · 2011-10-20 · 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{X6QFBVOLTCANAM45LFJQ2STDVW}

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	2026-05-18T04:10:36.277747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfa050d5cb9880d0339d59530d4a63adb709441ae2fcf15477e087a6bdd8f20c

Aliases

arxiv: 1110.4582 · arxiv_version: 1110.4582v1 · doi: 10.48550/arxiv.1110.4582 · pith_short_12: X6QFBVOLTCAN · pith_short_16: X6QFBVOLTCANAM45 · pith_short_8: X6QFBVOL

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/X6QFBVOLTCANAM45LFJQ2STDVW \
  | 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: bfa050d5cb9880d0339d59530d4a63adb709441ae2fcf15477e087a6bdd8f20c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd3143d72d5a5820009095aae766104eff9140f6e94ca111b3d89ec887214d86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-10-20T17:07:26Z",
    "title_canon_sha256": "a322aad745b3362d290273c5fa84f513eb51e5d4929a3ee63cb3aceb250ff779"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4582",
    "kind": "arxiv",
    "version": 1
  }
}