Pith Number

pith:EZUVAESQ

pith:2017:EZUVAESQC6GFVEHUPGRW4JIZ6W

not attested not anchored not stored refs pending

On discrete homology of a free pro-$p$-group

Roman Mikhailov, Sergei O. Ivanov

arxiv:1705.09131 v1 · 2017-05-25 · 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{EZUVAESQC6GFVEHUPGRW4JIZ6W}

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	2026-05-17T23:53:12.744799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2669501250178c5a90f479a36e2519f593382f8c60fa1d79183fa6ae0ba646b6

Aliases

arxiv: 1705.09131 · arxiv_version: 1705.09131v1 · doi: 10.48550/arxiv.1705.09131 · pith_short_12: EZUVAESQC6GF · pith_short_16: EZUVAESQC6GFVEHU · pith_short_8: EZUVAESQ

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/EZUVAESQC6GFVEHUPGRW4JIZ6W \
  | 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: 2669501250178c5a90f479a36e2519f593382f8c60fa1d79183fa6ae0ba646b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dff996452e7e708527e9b12192772791742c2232adebca07e03538baa96ca5c",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-05-25T11:34:34Z",
    "title_canon_sha256": "a08021b1839db5d1bb9dfa2ce58c56c0198b2ec9628443513430bcc459fa066f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09131",
    "kind": "arxiv",
    "version": 1
  }
}