Pith Number

pith:REU7HJH7

pith:2014:REU7HJH7KD2M4TVCVARD2KMIRE

not attested not anchored not stored refs pending

Families of K3 surfaces and Lyapunov exponents

Simion Filip

arxiv:1412.1779 v2 · 2014-12-04 · math.DS · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{REU7HJH7KD2M4TVCVARD2KMIRE}

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	2026-05-18T02:27:31.811374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8929f3a4ff50f4ce4ea2a8223d29888935b86365165a86ed3ae9de71470ea5c3

Aliases

arxiv: 1412.1779 · arxiv_version: 1412.1779v2 · doi: 10.48550/arxiv.1412.1779 · pith_short_12: REU7HJH7KD2M · pith_short_16: REU7HJH7KD2M4TVC · pith_short_8: REU7HJH7

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/REU7HJH7KD2M4TVCVARD2KMIRE \
  | 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: 8929f3a4ff50f4ce4ea2a8223d29888935b86365165a86ed3ae9de71470ea5c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c37ee46207f2f771d6507fd1665b76d79f0c4cc54d0c37225b4865602ca6ad2a",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-12-04T19:25:38Z",
    "title_canon_sha256": "41b4d277324b773a13a886ba140460d57e09b00c60c14e0c46565347cfa36db3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1779",
    "kind": "arxiv",
    "version": 2
  }
}