Pith Number

pith:RJKD777F

pith:2023:RJKD777FF3OQHFHROOBS2HT5LH

not attested not anchored not stored refs pending

The MorseResolutions package for Macaulay2

Augustine O'Keefe, Selvi Kara, Trung Chau

arxiv:2307.03633 v1 · 2023-07-07 · 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{RJKD777FF3OQHFHROOBS2HT5LH}

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	2026-07-05T06:28:45.414011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a543fffe52edd0394f173832d1e7d59d4b37e46199edd52837838f9c04dfc37

Aliases

arxiv: 2307.03633 · arxiv_version: 2307.03633v1 · doi: 10.48550/arxiv.2307.03633 · pith_short_12: RJKD777FF3OQ · pith_short_16: RJKD777FF3OQHFHR · pith_short_8: RJKD777F

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/RJKD777FF3OQHFHROOBS2HT5LH \
  | 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: 8a543fffe52edd0394f173832d1e7d59d4b37e46199edd52837838f9c04dfc37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d9c9fe8156c7edeee4922f4c4847ec4d192280f9a6ac0c0f8c34a825e28dc9b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2023-07-07T14:45:32Z",
    "title_canon_sha256": "bdea72cc683324e9d509b8cfa321275a3db461af9b6e31d523004fe2ce5b2e04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.03633",
    "kind": "arxiv",
    "version": 1
  }
}