Pith Number

pith:F2FFP76T

pith:2014:F2FFP76THOF5GPK5VR4R2ASURZ

not attested not anchored not stored refs pending

Relative divergence of finitely generated groups

Hung Cong Tran

arxiv:1406.4232 v1 · 2014-06-17 · 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{F2FFP76THOF5GPK5VR4R2ASURZ}

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	2026-05-18T01:22:22.089363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e8a57ffd33b8bd33d5dac791d02548e6f65c8ec6e3bb35444c1278b3fadb18d

Aliases

arxiv: 1406.4232 · arxiv_version: 1406.4232v1 · doi: 10.48550/arxiv.1406.4232 · pith_short_12: F2FFP76THOF5 · pith_short_16: F2FFP76THOF5GPK5 · pith_short_8: F2FFP76T

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/F2FFP76THOF5GPK5VR4R2ASURZ \
  | 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: 2e8a57ffd33b8bd33d5dac791d02548e6f65c8ec6e3bb35444c1278b3fadb18d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11ea0a1100cb9dabccaeafb59cabfddcf935710163377df3a87384d97e0e6d83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-06-17T04:19:50Z",
    "title_canon_sha256": "8d78fc3abe2973ea37f29d26eca71c482c54c14038d3dc70e0214b6f938cd4ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4232",
    "kind": "arxiv",
    "version": 1
  }
}