Pith Number

pith:FJ5VFVEZ

pith:2015:FJ5VFVEZLTANT2DIOXBLIIUMG7

not attested not anchored not stored refs pending

Revisiting Kneser's Theorem for Field Extensions

Christine Bachoc, Gilles Z\'emor, Oriol Serra

arxiv:1510.01354 v2 · 2015-10-05 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJ5VFVEZLTANT2DIOXBLIIUMG7}

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	2026-05-17T23:52:08.746546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a7b52d4995cc0d9e86875c2b4228c37e1a6c2dc65052979d00fd719883c9cc3

Aliases

arxiv: 1510.01354 · arxiv_version: 1510.01354v2 · doi: 10.48550/arxiv.1510.01354 · pith_short_12: FJ5VFVEZLTAN · pith_short_16: FJ5VFVEZLTANT2DI · pith_short_8: FJ5VFVEZ

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/FJ5VFVEZLTANT2DIOXBLIIUMG7 \
  | 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: 2a7b52d4995cc0d9e86875c2b4228c37e1a6c2dc65052979d00fd719883c9cc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73d776bc29153c6b6f15466fce1368fc800b7c771a7628319bc3b1dacf3bfe8b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-05T20:47:05Z",
    "title_canon_sha256": "f32dcb52c14e7789ae4c533a550561fe56f39af9254b1f509cc6dbc87a98fa61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01354",
    "kind": "arxiv",
    "version": 2
  }
}