Pith Number

pith:NHB2DR3Z

pith:2015:NHB2DR3ZJPNMXSOYAK33FN7JGU

not attested not anchored not stored refs pending

Lower Semi-Continuity of Entropy in a Family of K3 Surface Automorphisms

Bar Roytman, Paul Reschke

arxiv:1508.04681 v1 · 2015-08-19 · math.DS · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NHB2DR3ZJPNMXSOYAK33FN7JGU}

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	2026-05-18T01:35:02.082667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69c3a1c7794bdacbc9d802b7b2b7e9353298403a15040be551222fcebdadfca3

Aliases

arxiv: 1508.04681 · arxiv_version: 1508.04681v1 · doi: 10.48550/arxiv.1508.04681 · pith_short_12: NHB2DR3ZJPNM · pith_short_16: NHB2DR3ZJPNMXSOY · pith_short_8: NHB2DR3Z

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/NHB2DR3ZJPNMXSOYAK33FN7JGU \
  | 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: 69c3a1c7794bdacbc9d802b7b2b7e9353298403a15040be551222fcebdadfca3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b5ea616cd6638a3c7f992d274bd0bde1112efca3de9732081765c61be53aa18",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-08-19T15:43:09Z",
    "title_canon_sha256": "f13a7a851b0c082c491626f3a7d9fb476492f52ec10ef8d2e5ca88428c728bc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04681",
    "kind": "arxiv",
    "version": 1
  }
}