Pith Number

pith:BWO2ABNH

pith:2016:BWO2ABNHXH44R6XD7BHNQYNSNN

not attested not anchored not stored refs pending

Multigraded regularity, reduction vectors and postulation vectors

Parangama Sarkar

arxiv:1606.05891 v1 · 2016-06-19 · 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{BWO2ABNHXH44R6XD7BHNQYNSNN}

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	2026-05-18T01:12:15.883169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d9da005a7b9f9c8fae3f84ed861b26b5f689b2dfd904255fc8e4c241ee1723f

Aliases

arxiv: 1606.05891 · arxiv_version: 1606.05891v1 · doi: 10.48550/arxiv.1606.05891 · pith_short_12: BWO2ABNHXH44 · pith_short_16: BWO2ABNHXH44R6XD · pith_short_8: BWO2ABNH

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/BWO2ABNHXH44R6XD7BHNQYNSNN \
  | 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: 0d9da005a7b9f9c8fae3f84ed861b26b5f689b2dfd904255fc8e4c241ee1723f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a986a9c1cf741b3704b50debafe049613efa636eeda94fc6066d0bc0c8c9f2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-06-19T17:23:46Z",
    "title_canon_sha256": "bd1a38994e6cea8c885b8ac62baa96ebb38da0d00ebce046320dabce4bcf1616"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05891",
    "kind": "arxiv",
    "version": 1
  }
}