Pith Number

pith:A26JPUFB

pith:2017:A26JPUFBVOFI5XGVYMX5EE4BYM

not attested not anchored not stored refs pending

Quasi projective dimension for complexes

Tirdad Sharif

arxiv:1708.04455 v1 · 2017-08-15 · 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{A26JPUFBVOFI5XGVYMX5EE4BYM}

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	2026-05-18T00:37:59.282391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06bc97d0a1ab8a8edcd5c32fd21381c31f555c78af40d3ac7411d6cf9b20bdb4

Aliases

arxiv: 1708.04455 · arxiv_version: 1708.04455v1 · doi: 10.48550/arxiv.1708.04455 · pith_short_12: A26JPUFBVOFI · pith_short_16: A26JPUFBVOFI5XGV · pith_short_8: A26JPUFB

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/A26JPUFBVOFI5XGVYMX5EE4BYM \
  | 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: 06bc97d0a1ab8a8edcd5c32fd21381c31f555c78af40d3ac7411d6cf9b20bdb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c19141d01918129554b873ea9b1a95dd3a0ee3e9e9f53493b82170563293aecc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-08-15T10:33:07Z",
    "title_canon_sha256": "153015fe7ee75ccf79570f43ee718f02482a067309f2c002a9889d70cac594b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04455",
    "kind": "arxiv",
    "version": 1
  }
}