Pith Number

pith:75IWMKLC

pith:2015:75IWMKLCBWKZK4UE6KQBFPZH4Q

not attested not anchored not stored refs pending

Automorphism Groups and Invariant Theory on PN

Benjamin Hutz, Joao Alberto de Faria

arxiv:1509.06670 v2 · 2015-09-22 · 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{75IWMKLCBWKZK4UE6KQBFPZH4Q}

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	2026-05-18T01:17:25.352478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff516629620d95957284f2a012bf27e426d7585c64a7ebe34c567aa3dd377c99

Aliases

arxiv: 1509.06670 · arxiv_version: 1509.06670v2 · doi: 10.48550/arxiv.1509.06670 · pith_short_12: 75IWMKLCBWKZ · pith_short_16: 75IWMKLCBWKZK4UE · pith_short_8: 75IWMKLC

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/75IWMKLCBWKZK4UE6KQBFPZH4Q \
  | 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: ff516629620d95957284f2a012bf27e426d7585c64a7ebe34c567aa3dd377c99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a8647409dbea69c961fd973a535b995674398671e4939d0a263f9b76d8830d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-22T16:27:52Z",
    "title_canon_sha256": "f407251f3ba1f8b2915da5ca67df2b004f121c1ff5a1aec4d1f3b729c50df7f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06670",
    "kind": "arxiv",
    "version": 2
  }
}