Pith Number

pith:BUSSBWIB

pith:2011:BUSSBWIBLXSRMFOEQTGF65C56G

not attested not anchored not stored refs pending

Vanishing of Tate homology and depth formulas over local rings

David A. Jorgensen, Lars Winther Christensen

arxiv:1107.3102 v2 · 2011-07-15 · 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{BUSSBWIBLXSRMFOEQTGF65C56G}

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	2026-05-18T03:04:38.830031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d2520d9015de51615c484cc5f745df1afb1c89776da53f5356be9e3cf2e452e

Aliases

arxiv: 1107.3102 · arxiv_version: 1107.3102v2 · doi: 10.48550/arxiv.1107.3102 · pith_short_12: BUSSBWIBLXSR · pith_short_16: BUSSBWIBLXSRMFOE · pith_short_8: BUSSBWIB

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/BUSSBWIBLXSRMFOEQTGF65C56G \
  | 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: 0d2520d9015de51615c484cc5f745df1afb1c89776da53f5356be9e3cf2e452e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcf336ffd2e28fb9b687a4f202d8f47bdb2223bf73475c4285f26de9edf64e90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-07-15T16:28:34Z",
    "title_canon_sha256": "2345f5997b01f3a60eb90f5418ae2f29ea6d3fe53e748ee091829a3d8b5ec0e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3102",
    "kind": "arxiv",
    "version": 2
  }
}