Pith Number

pith:NGGNEQWH

pith:2015:NGGNEQWH4FCGWLKBZ42DUYSFPK

not attested not anchored not stored refs pending

Toroidal affine Nash groups

Mahir Bilen Can

arxiv:1509.06687 v3 · 2015-09-22 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NGGNEQWH4FCGWLKBZ42DUYSFPK}

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	2026-05-18T01:17:32.910042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

698cd242c7e1446b2d41cf343a62457a9f8383dac38565e9b972daea40398e8a

Aliases

arxiv: 1509.06687 · arxiv_version: 1509.06687v3 · doi: 10.48550/arxiv.1509.06687 · pith_short_12: NGGNEQWH4FCG · pith_short_16: NGGNEQWH4FCGWLKB · pith_short_8: NGGNEQWH

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/NGGNEQWH4FCGWLKBZ42DUYSFPK \
  | 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: 698cd242c7e1446b2d41cf343a62457a9f8383dac38565e9b972daea40398e8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e04d7c3d8671477f96f928623208a82eeeca3436cb4ffa14cf932a639e4e3e60",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-22T17:13:06Z",
    "title_canon_sha256": "e928c90d9818f336a9dee239ae8c1500a4800dbab277402eebcf8f6e852e1c06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06687",
    "kind": "arxiv",
    "version": 3
  }
}