Pith Number

pith:AIEHZNPA

pith:2012:AIEHZNPARV74ODC4D2B25KV4OJ

not attested not anchored not stored refs pending

A note on the depth formula and vanishing of cohomology

Arash Sadeghi

arxiv:1204.4083 v1 · 2012-04-18 · 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{AIEHZNPARV74ODC4D2B25KV4OJ}

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	2026-05-18T03:57:37.787267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02087cb5e08d7fc70c5c1e83aeaabc727a0e8576f8bbce0a50fe784fb2dfb53c

Aliases

arxiv: 1204.4083 · arxiv_version: 1204.4083v1 · doi: 10.48550/arxiv.1204.4083 · pith_short_12: AIEHZNPARV74 · pith_short_16: AIEHZNPARV74ODC4 · pith_short_8: AIEHZNPA

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/AIEHZNPARV74ODC4D2B25KV4OJ \
  | 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: 02087cb5e08d7fc70c5c1e83aeaabc727a0e8576f8bbce0a50fe784fb2dfb53c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7f0535fdd2fe44f7a4ea0b5f01351789a368f2e6b50a0f2cb6415e0ac708c99",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-04-18T13:44:02Z",
    "title_canon_sha256": "bd810c2e27b4316d97a87caa84711224627a9860ef8c9c40a75759528e787e4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4083",
    "kind": "arxiv",
    "version": 1
  }
}