Pith Number

pith:6H45BQVB

pith:2021:6H45BQVBUI22QQ33RMKV5PZ2LB

not attested not anchored not stored refs pending

Minimal pairs, inertia degrees, ramification degrees and implicit constant fields

Arpan Dutta

arxiv:2111.13641 v1 · 2021-11-26 · 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{6H45BQVBUI22QQ33RMKV5PZ2LB}

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	2026-07-05T03:35:23.272323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1f9d0c2a1a235a8437b8b155ebf3a584ecd3fa7f0b896c9acfecacdc96142a3

Aliases

arxiv: 2111.13641 · arxiv_version: 2111.13641v1 · doi: 10.48550/arxiv.2111.13641 · pith_short_12: 6H45BQVBUI22 · pith_short_16: 6H45BQVBUI22QQ33 · pith_short_8: 6H45BQVB

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/6H45BQVBUI22QQ33RMKV5PZ2LB \
  | 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: f1f9d0c2a1a235a8437b8b155ebf3a584ecd3fa7f0b896c9acfecacdc96142a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00f7733624d9ae7a5f278fadf4a7b15915971329e581648d06c56b987f0513b6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-11-26T18:09:09Z",
    "title_canon_sha256": "0ef4c2737615f5b9173fbbe69bb008f5abfdd477d43e3797e59737590c627421"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.13641",
    "kind": "arxiv",
    "version": 1
  }
}