Pith Number

pith:DCBNCPAW

pith:2017:DCBNCPAWMBJUMT4WRWPACO65CI

not attested not anchored not stored refs pending

On Gorenstein fiber products and applications

Keller VandeBogert, Ryo Takahashi, Saeed Nasseh

arxiv:1701.08689 v2 · 2017-01-30 · 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{DCBNCPAWMBJUMT4WRWPACO65CI}

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	2026-05-18T00:24:35.458939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1882d13c166053464f968d9e013bdd123f24b128f7a1d771267aefafc03d5ff5

Aliases

arxiv: 1701.08689 · arxiv_version: 1701.08689v2 · doi: 10.48550/arxiv.1701.08689 · pith_short_12: DCBNCPAWMBJU · pith_short_16: DCBNCPAWMBJUMT4W · pith_short_8: DCBNCPAW

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/DCBNCPAWMBJUMT4WRWPACO65CI \
  | 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: 1882d13c166053464f968d9e013bdd123f24b128f7a1d771267aefafc03d5ff5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43d9a822f0935f128940a6db2f3f2401ff0ed933b58cf319dc5e81bc14c94b30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-01-30T16:34:34Z",
    "title_canon_sha256": "dc564fbbbb76cbfdc4e3c4a2ea976b45b495c1e9fd47a10e167440fcfe803a30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08689",
    "kind": "arxiv",
    "version": 2
  }
}