Pith Number

pith:7X3CJOFM

pith:2013:7X3CJOFMA5DB3SES3ZZUV5DBSB

not attested not anchored not stored refs pending

Good Towers of Function Fields

Alp Bassa, Nhut Nguyen, Peter Beelen

arxiv:1309.4951 v1 · 2013-09-19 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7X3CJOFMA5DB3SES3ZZUV5DBSB}

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	2026-05-18T03:12:56.829672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdf624b8ac07461dc892de734af46190690b6b6b54e65cb033e9e8ad86cbdad0

Aliases

arxiv: 1309.4951 · arxiv_version: 1309.4951v1 · doi: 10.48550/arxiv.1309.4951 · pith_short_12: 7X3CJOFMA5DB · pith_short_16: 7X3CJOFMA5DB3SES · pith_short_8: 7X3CJOFM

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/7X3CJOFMA5DB3SES3ZZUV5DBSB \
  | 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: fdf624b8ac07461dc892de734af46190690b6b6b54e65cb033e9e8ad86cbdad0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f28501f1393e8aa246778237e597a931b0247dc2bd6b2e9f262b5f84a826cbc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-19T12:22:43Z",
    "title_canon_sha256": "d8dad578a89a45835c0fd871ead4508679a9d96b880ace5bbb7fe88b8e4b639d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4951",
    "kind": "arxiv",
    "version": 1
  }
}