Pith Number

pith:NDNO3NZI

pith:2024:NDNO3NZIK3BKFSGE2JKDAQZDLX

not attested not anchored not stored refs pending

Facets of module theory over semirings

Jaiung Jun, James Borger

arxiv:2405.18645 v3 · 2024-05-28 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDNO3NZIK3BKFSGE2JKDAQZDLX}

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.

Cited by

1 paper in Pith

Representation theory over semifields

Receipt and verification

First computed	2026-07-05T11:28:59.486745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68daedb72856c2a2c8c4d2543043235dd867e4b981e9b3a9582ae90f857818b1

Aliases

arxiv: 2405.18645 · arxiv_version: 2405.18645v3 · doi: 10.48550/arxiv.2405.18645 · pith_short_12: NDNO3NZIK3BK · pith_short_16: NDNO3NZIK3BKFSGE · pith_short_8: NDNO3NZI

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/NDNO3NZIK3BKFSGE2JKDAQZDLX \
  | 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: 68daedb72856c2a2c8c4d2543043235dd867e4b981e9b3a9582ae90f857818b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad937b2fb49a28b1876f2f922fc6fda55b11a2368df062f3da6fcd85984b414b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-05-28T23:07:16Z",
    "title_canon_sha256": "9cb4a0e884841ee6ad3bbffb03d42619501ce3ee494244d43ad1e431def9f912"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.18645",
    "kind": "arxiv",
    "version": 3
  }
}