Pith Number

pith:IUY4XEMG

pith:2013:IUY4XEMGFQ2K35I43H4BQM5JDV

not attested not anchored not stored refs pending

On groups with linear sci growth

Daniele Ettore Otera, Louis Funar, Martha Giannoudovardi

arxiv:1312.0802 v2 · 2013-12-03 · math.GT · 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{IUY4XEMGFQ2K35I43H4BQM5JDV}

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	2026-05-18T02:44:49.767955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4531cb91862c34adf51cd9f81833a91d43db7e0e99c8243b2e80e3efe7e91ea9

Aliases

arxiv: 1312.0802 · arxiv_version: 1312.0802v2 · doi: 10.48550/arxiv.1312.0802 · pith_short_12: IUY4XEMGFQ2K · pith_short_16: IUY4XEMGFQ2K35I4 · pith_short_8: IUY4XEMG

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/IUY4XEMGFQ2K35I43H4BQM5JDV \
  | 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: 4531cb91862c34adf51cd9f81833a91d43db7e0e99c8243b2e80e3efe7e91ea9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "547caf5541d4e9522681758239a27910c5bbe30bcaf388cd5f2c5b1222aec1ec",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-12-03T12:49:19Z",
    "title_canon_sha256": "83e55b8f8c52b9c0c38222425d91d7c56c61481171f4c628a618820a7fc40ef0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0802",
    "kind": "arxiv",
    "version": 2
  }
}