Pith Number

pith:6ZBWDKLI

pith:2013:6ZBWDKLISQNE46JPA2LXZGJT2F

not attested not anchored not stored refs pending

On the arithmetic of crossratios and generalised Mertens' formulas

Fr\'ed\'eric Paulin, Jouni Parkkonen

arxiv:1308.5500 v1 · 2013-08-26 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ZBWDKLISQNE46JPA2LXZGJT2F}

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	2026-05-18T03:15:04.391304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f64361a968941a4e792f06977c9933d1486075aa72c45767fcf84d4812538987

Aliases

arxiv: 1308.5500 · arxiv_version: 1308.5500v1 · doi: 10.48550/arxiv.1308.5500 · pith_short_12: 6ZBWDKLISQNE · pith_short_16: 6ZBWDKLISQNE46JP · pith_short_8: 6ZBWDKLI

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/6ZBWDKLISQNE46JPA2LXZGJT2F \
  | 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: f64361a968941a4e792f06977c9933d1486075aa72c45767fcf84d4812538987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef5e98c7456f8a74a19fc755bfd24deb9914a657835e018ac96d36c9814ff90f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-26T07:19:59Z",
    "title_canon_sha256": "76c37d1e4291ab66baea752dd59d02995586694e4203c0c406745ea171ac8643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5500",
    "kind": "arxiv",
    "version": 1
  }
}