Pith Number

pith:TWWAUN2R

pith:2014:TWWAUN2RPRB7HRFWSSEJ6LXB3M

not attested not anchored not stored refs pending

On the generic triangle group

Riccardo Piergallini, Stefano Isola

arxiv:1405.1881 v2 · 2014-05-08 · math.MG · math.DS · 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{TWWAUN2RPRB7HRFWSSEJ6LXB3M}

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	2026-05-18T01:38:54.286617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dac0a37517c43f3c4b694889f2ee1db33e034ceeeab637cf402530f8283c3bb

Aliases

arxiv: 1405.1881 · arxiv_version: 1405.1881v2 · doi: 10.48550/arxiv.1405.1881 · pith_short_12: TWWAUN2RPRB7 · pith_short_16: TWWAUN2RPRB7HRFW · pith_short_8: TWWAUN2R

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/TWWAUN2RPRB7HRFWSSEJ6LXB3M \
  | 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: 9dac0a37517c43f3c4b694889f2ee1db33e034ceeeab637cf402530f8283c3bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03f80af36c44bac3f9bc82ad8671a124c2380ae629eb378b1fe1a3dd141e7e22",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-05-08T11:11:45Z",
    "title_canon_sha256": "6b6f9ebde234fac1b37bf04596e472ae69040e47326e2a50f0587740eb7094d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1881",
    "kind": "arxiv",
    "version": 2
  }
}