Pith Number

pith:BTCJIZIB

pith:2017:BTCJIZIB2AQYOXWAHXHSUAHOXO

not attested not anchored not stored refs pending

Some algebraic aspects of mesoprimary decomposition

Christopher O'Neill, Laura Felicia Matusevich

arxiv:1706.07496 v3 · 2017-06-22 · math.AC · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BTCJIZIB2AQYOXWAHXHSUAHOXO}

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	2026-05-18T00:08:16.059971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cc4946501d021875ec03dcf2a00eebb962207da12b99a132674baccad58c88b

Aliases

arxiv: 1706.07496 · arxiv_version: 1706.07496v3 · doi: 10.48550/arxiv.1706.07496 · pith_short_12: BTCJIZIB2AQY · pith_short_16: BTCJIZIB2AQYOXWA · pith_short_8: BTCJIZIB

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/BTCJIZIB2AQYOXWAHXHSUAHOXO \
  | 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: 0cc4946501d021875ec03dcf2a00eebb962207da12b99a132674baccad58c88b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63208ca6b4aaa18e4c5326df439cca4220e5f023bcae00e9bb62ac321de4aef2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-06-22T21:22:02Z",
    "title_canon_sha256": "3259d81b111c85d03096eb84f900ccece9a5b021fb8e4f3bbd3eee2466a85a7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07496",
    "kind": "arxiv",
    "version": 3
  }
}