Pith Number

pith:F5TWJVGX

pith:2017:F5TWJVGXQLBR5NVR2FV3UCHMZT

not attested not anchored not stored refs pending

Local-global Galois theory of arithmetic function fields

Daniel Krashen, David Harbater, Julia Hartmann, R. Parimala, V. Suresh

arxiv:1710.03635 v3 · 2017-10-10 · math.RA · 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{F5TWJVGXQLBR5NVR2FV3UCHMZT}

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	2026-05-18T00:02:36.116007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f6764d4d782c31eb6b1d16bba08eccccb10c5436aa5459b2760aa37d984ba10

Aliases

arxiv: 1710.03635 · arxiv_version: 1710.03635v3 · doi: 10.48550/arxiv.1710.03635 · pith_short_12: F5TWJVGXQLBR · pith_short_16: F5TWJVGXQLBR5NVR · pith_short_8: F5TWJVGX

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/F5TWJVGXQLBR5NVR2FV3UCHMZT \
  | 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: 2f6764d4d782c31eb6b1d16bba08eccccb10c5436aa5459b2760aa37d984ba10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "771194daa38b05c43361c7ed52b8d959c8ecd0023aa7ac0eb89cbef046e005bf",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-10-10T14:53:36Z",
    "title_canon_sha256": "b484468d3ec75adff806384115a8bf04f914d06b6e8f72cf54b3642f414d4263"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03635",
    "kind": "arxiv",
    "version": 3
  }
}