Pith Number

pith:WCTQ5ZL3

pith:2013:WCTQ5ZL3HN5GONYQMP55DVS555

not attested not anchored not stored refs pending

On graded Gorenstein injective dimension

Afsaneh Esmaeelnezhad, Parviz Sahandi

arxiv:1306.3049 v2 · 2013-06-13 · 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{WCTQ5ZL3HN5GONYQMP55DVS555}

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	2026-05-18T03:20:47.394767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0a70ee57b3b7a67371063fbd1d65def4c704716a277aa7f84bd1c13762f50b0

Aliases

arxiv: 1306.3049 · arxiv_version: 1306.3049v2 · doi: 10.48550/arxiv.1306.3049 · pith_short_12: WCTQ5ZL3HN5G · pith_short_16: WCTQ5ZL3HN5GONYQ · pith_short_8: WCTQ5ZL3

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/WCTQ5ZL3HN5GONYQMP55DVS555 \
  | 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: b0a70ee57b3b7a67371063fbd1d65def4c704716a277aa7f84bd1c13762f50b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcfcb6a61f26367dbe2578a3402b85f7476ebdb3080e0c07b779a90b73fae9b0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-06-13T07:58:34Z",
    "title_canon_sha256": "c238f94bb3d15aeb1cf72c0154cb7cc67500655e4032d8564cdfa826943761d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3049",
    "kind": "arxiv",
    "version": 2
  }
}