Pith Number

pith:VQJECXOU

pith:2015:VQJECXOUBTQOSKBMFGVQQBCPKE

not attested not anchored not stored refs pending

The geometry of profinite graphs revisited

K. Auinger

arxiv:1501.00839 v5 · 2015-01-05 · 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{VQJECXOUBTQOSKBMFGVQQBCPKE}

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	2026-05-18T01:22:14.759362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac12415dd40ce0e9282c29ab08044f5113747ca955e9014834fb3ead6005418b

Aliases

arxiv: 1501.00839 · arxiv_version: 1501.00839v5 · doi: 10.48550/arxiv.1501.00839 · pith_short_12: VQJECXOUBTQO · pith_short_16: VQJECXOUBTQOSKBM · pith_short_8: VQJECXOU

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/VQJECXOUBTQOSKBMFGVQQBCPKE \
  | 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: ac12415dd40ce0e9282c29ab08044f5113747ca955e9014834fb3ead6005418b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6794cc141364708066a03106a46a256759b129b2f5f9111332966a068f275127",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-01-05T12:40:28Z",
    "title_canon_sha256": "ae43bcf99202823106a9dd7d7b39c08e27d2a23a490ed7ec656fb82beba21dce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00839",
    "kind": "arxiv",
    "version": 5
  }
}