Pith Number

pith:CDMRIMBS

pith:2019:CDMRIMBSRQ6E7HIA3Z7S6EWR26

not attested not anchored not stored refs pending

Betti tables of monomial ideals fixed by permutations of the variables

Satoshi Murai

arxiv:1907.09727 v1 · 2019-07-23 · 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{CDMRIMBSRQ6E7HIA3Z7S6EWR26}

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	2026-05-17T23:39:50.258375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10d91430328c3c4f9d00de7f2f12d1d7ba5186dc7b0fea0ec8c998b634f421d4

Aliases

arxiv: 1907.09727 · arxiv_version: 1907.09727v1 · doi: 10.48550/arxiv.1907.09727 · pith_short_12: CDMRIMBSRQ6E · pith_short_16: CDMRIMBSRQ6E7HIA · pith_short_8: CDMRIMBS

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/CDMRIMBSRQ6E7HIA3Z7S6EWR26 \
  | 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: 10d91430328c3c4f9d00de7f2f12d1d7ba5186dc7b0fea0ec8c998b634f421d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55014eba753003c5e9fbd8634ec719191101cf0ce6f2197baa219f6bcc7a0890",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-07-23T07:27:33Z",
    "title_canon_sha256": "20ff4195f4103c0f30ee9b7244482bb15a9af3150773269b8a8062e3830cc182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09727",
    "kind": "arxiv",
    "version": 1
  }
}