Pith Number

pith:QPW42DSD

pith:2013:QPW42DSDDZHJHYKGWNNOVZFKMK

not attested not anchored not stored refs pending

The elliptic trilogarithm and Mahler measures of $K3$ surfaces

Detchat Samart

arxiv:1309.7730 v2 · 2013-09-30 · 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{QPW42DSDDZHJHYKGWNNOVZFKMK}

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	2026-05-18T02:56:19.048144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83edcd0e431e4e93e146b35aeae4aa62b6e94f34f7d2d1ecd7f0061592e416ca

Aliases

arxiv: 1309.7730 · arxiv_version: 1309.7730v2 · doi: 10.48550/arxiv.1309.7730 · pith_short_12: QPW42DSDDZHJ · pith_short_16: QPW42DSDDZHJHYKG · pith_short_8: QPW42DSD

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/QPW42DSDDZHJHYKGWNNOVZFKMK \
  | 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: 83edcd0e431e4e93e146b35aeae4aa62b6e94f34f7d2d1ecd7f0061592e416ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5307d22bebddc4cdbb4d02108fccc9f2e6c6c88930af1c3e3bf0bce5b1bfcc0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-30T06:05:37Z",
    "title_canon_sha256": "8a93e65c4a1c066e4d950293fab4e9ecfa9e0572f179eeafc2dbb67d4b91572a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7730",
    "kind": "arxiv",
    "version": 2
  }
}