Pith Number

pith:OARZK7LU

pith:2006:OARZK7LUDOH2R4PD73QVKAWL57

not attested not anchored not stored refs pending

Functoriality and the Inverse Galois Problem

Chandrashekhar Khare, Gordan Savin, Michael Larsen

arxiv:math/0610860 v3 · 2006-10-27 · 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{OARZK7LUDOH2R4PD73QVKAWL57}

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	2026-05-18T01:59:59.480886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7023957d741b8fa8f1e3fee15502cbefc1ea074cb0f940e1c320517ece5b43e5

Aliases

arxiv: math/0610860 · arxiv_version: math/0610860v3 · doi: 10.48550/arxiv.math/0610860 · pith_short_12: OARZK7LUDOH2 · pith_short_16: OARZK7LUDOH2R4PD · pith_short_8: OARZK7LU

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/OARZK7LUDOH2R4PD73QVKAWL57 \
  | 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: 7023957d741b8fa8f1e3fee15502cbefc1ea074cb0f940e1c320517ece5b43e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f19555a660f1caa7b5264696264047fe80de2977ba45a194b69f7385eec666b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2006-10-27T17:14:45Z",
    "title_canon_sha256": "3293b49450e349ed19f4d3b87f594ecff84214d7169dc4dbee24f06f0001f3a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610860",
    "kind": "arxiv",
    "version": 3
  }
}