Pith Number

pith:FREPBMZX

pith:2021:FREPBMZX5HKRR7CZCBUCK24DYP

not attested not anchored not stored refs pending

Minimal pairs, minimal fields and implicit constant fields

Arpan Dutta

arxiv:2107.04828 v1 · 2021-07-10 · math.AG · 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{FREPBMZX5HKRR7CZCBUCK24DYP}

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	2026-07-05T02:56:43.148894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c48f0b337e9d518fc591068256b83c3fa81ff6a8bb2ff4f86645357ca0c0783

Aliases

arxiv: 2107.04828 · arxiv_version: 2107.04828v1 · doi: 10.48550/arxiv.2107.04828 · pith_short_12: FREPBMZX5HKR · pith_short_16: FREPBMZX5HKRR7CZ · pith_short_8: FREPBMZX

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/FREPBMZX5HKRR7CZCBUCK24DYP \
  | 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: 2c48f0b337e9d518fc591068256b83c3fa81ff6a8bb2ff4f86645357ca0c0783

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "012aa8a2d639a35d1b46d6bf3efa41120da07822e63b5ea945af61f8a42d9c59",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-07-10T12:40:07Z",
    "title_canon_sha256": "13600b00751356858916e101044d2f155c4eae855f7df2000a1edab0b8d4b844"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.04828",
    "kind": "arxiv",
    "version": 1
  }
}