Pith Number

pith:XWW3BQSH

pith:2015:XWW3BQSH5SQVBAN5DV7B2DAGQ3

not attested not anchored not stored refs pending

On the number of ramified primes in specializations of function fields over $\mathbb{Q}$

Fran\c{c}ois Legrand, Lior Bary-Soroker

arxiv:1511.02478 v2 · 2015-11-08 · 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{XWW3BQSH5SQVBAN5DV7B2DAGQ3}

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	2026-05-18T00:04:42.135837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdadb0c247eca15081bd1d7e1d0c0686fba4fca898784cc934cb2c20bf88e9d0

Aliases

arxiv: 1511.02478 · arxiv_version: 1511.02478v2 · doi: 10.48550/arxiv.1511.02478 · pith_short_12: XWW3BQSH5SQV · pith_short_16: XWW3BQSH5SQVBAN5 · pith_short_8: XWW3BQSH

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/XWW3BQSH5SQVBAN5DV7B2DAGQ3 \
  | 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: bdadb0c247eca15081bd1d7e1d0c0686fba4fca898784cc934cb2c20bf88e9d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faac78defc07386893a91aa069b9c6bc31d564a25f93beea14ed0c302a72c7c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-08T12:52:25Z",
    "title_canon_sha256": "b7ff61f3ababb7175ba115caa1fcfa000cdf27119f561fdef634cadf1823d480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02478",
    "kind": "arxiv",
    "version": 2
  }
}