Pith Number

pith:M3RVR3GL

pith:2011:M3RVR3GLFMK52GU2WBFIYYUMTS

not attested not anchored not stored refs pending

A proof of the strong no loop conjecture

Charles Paquette, Kiyoshi Igusa, Shiping Liu

arxiv:1103.5361 v1 · 2011-03-28 · 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{M3RVR3GLFMK52GU2WBFIYYUMTS}

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	2026-05-18T03:45:43.842950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66e358eccb2b15dd1a9ab04a8c628c9cba646eaae1bbd8fdce3b7f02aebc3c46

Aliases

arxiv: 1103.5361 · arxiv_version: 1103.5361v1 · doi: 10.48550/arxiv.1103.5361 · pith_short_12: M3RVR3GLFMK5 · pith_short_16: M3RVR3GLFMK52GU2 · pith_short_8: M3RVR3GL

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/M3RVR3GLFMK52GU2WBFIYYUMTS \
  | 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: 66e358eccb2b15dd1a9ab04a8c628c9cba646eaae1bbd8fdce3b7f02aebc3c46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2f46272a08f2cb51ad2feb007f2b36f17ed23825ac798cefd2dbadb5430a62f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-03-28T14:04:59Z",
    "title_canon_sha256": "e1d8eeeaad0b740d8b5099554c6e639786ee3b8573ff6bc21e87f41d03abfd57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5361",
    "kind": "arxiv",
    "version": 1
  }
}