Pith Number

pith:6PHZ434Q

pith:2013:6PHZ434QLUXZ3IMPH2UNR7N63A

not attested not anchored not stored refs pending

Lifting Galois sections along torsors

Jakob Stix, Michel Emsalem, Niels Borne

arxiv:1301.4429 v2 · 2013-01-18 · math.AG · 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{6PHZ434QLUXZ3IMPH2UNR7N63A}

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	2026-05-18T01:35:16.882546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3cf9e6f905d2f9da18f3ea8d8fdbed82b54929bd668da367e517d440d82ad6a

Aliases

arxiv: 1301.4429 · arxiv_version: 1301.4429v2 · doi: 10.48550/arxiv.1301.4429 · pith_short_12: 6PHZ434QLUXZ · pith_short_16: 6PHZ434QLUXZ3IMP · pith_short_8: 6PHZ434Q

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/6PHZ434QLUXZ3IMPH2UNR7N63A \
  | 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: f3cf9e6f905d2f9da18f3ea8d8fdbed82b54929bd668da367e517d440d82ad6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ca787df60266fc3736c90cc369a4945fdeb5a42a3274d80e22a78a5c7aae348",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-01-18T16:50:07Z",
    "title_canon_sha256": "7a39ec73f79ff77925b37e57a1c497a99df9c3921303aeca42a7181bb1dabd76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4429",
    "kind": "arxiv",
    "version": 2
  }
}