Pith Number

pith:V4MRUODI

pith:2015:V4MRUODI5DV2ACER6LFNHMKKPW

not attested not anchored not stored refs pending

Loops as sections in compact Lie groups

Agota Figula, Karl Strambach

arxiv:1502.06911 v1 · 2015-02-21 · math.RT · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4MRUODI5DV2ACER6LFNHMKKPW}

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	2026-05-18T02:26:24.173294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af191a3868e8eba00891f2cad3b14a7d9b37ac09d0410552ac9036b75c2e1aed

Aliases

arxiv: 1502.06911 · arxiv_version: 1502.06911v1 · doi: 10.48550/arxiv.1502.06911 · pith_short_12: V4MRUODI5DV2 · pith_short_16: V4MRUODI5DV2ACER · pith_short_8: V4MRUODI

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/V4MRUODI5DV2ACER6LFNHMKKPW \
  | 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: af191a3868e8eba00891f2cad3b14a7d9b37ac09d0410552ac9036b75c2e1aed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f527fa05c4d334caf2aee150cdf386f89dd35247476d7148e755d299c33a470d",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-02-21T16:12:01Z",
    "title_canon_sha256": "d3eecec9c0b82b2f6ab2f6796ff4e1c5ed500cf2652ca64ef57a7fa4d7f35449"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06911",
    "kind": "arxiv",
    "version": 1
  }
}