Pith Number

pith:OVQMHHL3

pith:2008:OVQMHHL3LNA6RL2HB6V55A4FNA

not attested not anchored not stored refs pending

Realizations of Countable Groups as Fundamental Groups of Compacta

Ziga Virk

arxiv:0810.3412 v2 · 2008-10-20 · 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{OVQMHHL3LNA6RL2HB6V55A4FNA}

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	2026-05-18T01:20:12.787197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7560c39d7b5b41e8af470fabde83856827aa9bcd0f5d4776d28bb02b28d20c36

Aliases

arxiv: 0810.3412 · arxiv_version: 0810.3412v2 · doi: 10.48550/arxiv.0810.3412 · pith_short_12: OVQMHHL3LNA6 · pith_short_16: OVQMHHL3LNA6RL2H · pith_short_8: OVQMHHL3

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/OVQMHHL3LNA6RL2HB6V55A4FNA \
  | 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: 7560c39d7b5b41e8af470fabde83856827aa9bcd0f5d4776d28bb02b28d20c36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2021dd2bc9feac58a8b4eb63ec202c7e0a332be6e8c89d86828c38a5b7b2f56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-10-20T04:13:39Z",
    "title_canon_sha256": "d57616c755bdfeb2794c2d303a1c4a2488e362d5cdc08e62ee65b6e0aa240603"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.3412",
    "kind": "arxiv",
    "version": 2
  }
}