Pith Number

pith:E37Q5R4G

pith:2012:E37Q5R4GKP64JUXUPZTP6BPDKM

not attested not anchored not stored refs pending

Local-global principle for congruence subgroups of Chevalley groups

Alexei Stepanov, Himanee Apte

arxiv:1211.3575 v2 · 2012-11-15 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E37Q5R4GKP64JUXUPZTP6BPDKM}

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	2026-05-18T01:26:19.240412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26ff0ec78653fdc4d2f47e66ff05e353233c345260d3f43866c87f5187279b3c

Aliases

arxiv: 1211.3575 · arxiv_version: 1211.3575v2 · doi: 10.48550/arxiv.1211.3575 · pith_short_12: E37Q5R4GKP64 · pith_short_16: E37Q5R4GKP64JUXU · pith_short_8: E37Q5R4G

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/E37Q5R4GKP64JUXUPZTP6BPDKM \
  | 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: 26ff0ec78653fdc4d2f47e66ff05e353233c345260d3f43866c87f5187279b3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ceaf70d415e6f412ce7b60e68d8008e0d17b3aee786cef8274ef040a5d6e824",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-11-15T11:19:09Z",
    "title_canon_sha256": "8d7078c7f416e69c97474d1b10657efc68c2c766c22b07a3b952575049dbdf71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3575",
    "kind": "arxiv",
    "version": 2
  }
}