Pith Number

pith:2MRGNVKZ

pith:2019:2MRGNVKZGRRYLLAQD4CHOHKD7P

not attested not anchored not stored refs pending

The fundamental group of the $p$-subgroup complex

Elias Gabriel Minian, Kevin Ivan Piterman

arxiv:1903.03549 v2 · 2019-03-08 · math.GR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MRGNVKZGRRYLLAQD4CHOHKD7P}

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	2026-05-17T23:49:14.498106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d32266d559346385ac101f04771d43fbf2c872c33efcbb3af2d201d64ebdc8b7

Aliases

arxiv: 1903.03549 · arxiv_version: 1903.03549v2 · doi: 10.48550/arxiv.1903.03549 · pith_short_12: 2MRGNVKZGRRY · pith_short_16: 2MRGNVKZGRRYLLAQ · pith_short_8: 2MRGNVKZ

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/2MRGNVKZGRRYLLAQD4CHOHKD7P \
  | 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: d32266d559346385ac101f04771d43fbf2c872c33efcbb3af2d201d64ebdc8b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21457a55e5d159fad5894a2eaa619c095062f154283f8cb61af88d14588a2b32",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-03-08T16:51:15Z",
    "title_canon_sha256": "12d6122d003d24e2d61bd64aa2737734be138a4fb83c525748eb93cd843f8d2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03549",
    "kind": "arxiv",
    "version": 2
  }
}