Pith Number

pith:KL42AQDM

pith:2011:KL42AQDMHIEI5X22H3NECYDN2B

not attested not anchored not stored refs pending

Period- and mirror-maps for the quartic K3

Heinrich Hartmann

arxiv:1101.4601 v1 · 2011-01-24 · 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{KL42AQDMHIEI5X22H3NECYDN2B}

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	2026-05-18T01:17:53.673866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52f9a0406c3a088edf5a3eda41606dd05208a367831c8c410d723ccc8e209a8b

Aliases

arxiv: 1101.4601 · arxiv_version: 1101.4601v1 · doi: 10.48550/arxiv.1101.4601 · pith_short_12: KL42AQDMHIEI · pith_short_16: KL42AQDMHIEI5X22 · pith_short_8: KL42AQDM

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/KL42AQDMHIEI5X22H3NECYDN2B \
  | 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: 52f9a0406c3a088edf5a3eda41606dd05208a367831c8c410d723ccc8e209a8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf2fc418e97e89fb4cd3732ddb608945a2b27f45d1214b44fe21a6e35bc67ccc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-24T17:42:20Z",
    "title_canon_sha256": "3960cff430843d6f92c2770f18bec606db0c9aeb286b4760bdc99c873bd9e323"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4601",
    "kind": "arxiv",
    "version": 1
  }
}