Pith Number

pith:7DQ5L6CX

pith:2015:7DQ5L6CXVDLQ3LBX2SFFGZPQAM

not attested not anchored not stored refs pending

Presentations: from Kac-Moody groups to profinite and back

Alexander Lubotzky, Bertrand R\'emy (CMLS), Inna Capdeboscq (WMI)

arxiv:1508.00526 v5 · 2015-08-03 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7DQ5L6CXVDLQ3LBX2SFFGZPQAM}

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	2026-05-18T01:07:52.431440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8e1d5f857a8d70dac37d48a5365f0031fdb40962c62808672a776992895561e

Aliases

arxiv: 1508.00526 · arxiv_version: 1508.00526v5 · doi: 10.48550/arxiv.1508.00526 · pith_short_12: 7DQ5L6CXVDLQ · pith_short_16: 7DQ5L6CXVDLQ3LBX · pith_short_8: 7DQ5L6CX

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/7DQ5L6CXVDLQ3LBX2SFFGZPQAM \
  | 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: f8e1d5f857a8d70dac37d48a5365f0031fdb40962c62808672a776992895561e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04f424ce78c9dfd172aa5516b12108c159b908652ef94e13b2a5753ecb32b4b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-08-03T18:52:45Z",
    "title_canon_sha256": "7a5da1296def7c577c22771ee1de57f3724e36782074e4efa66c82149007e077"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00526",
    "kind": "arxiv",
    "version": 5
  }
}