Pith Number

pith:P272XMH4

pith:2026:P272XMH4R3OQTTHUCSQFL2YZ53

not attested not anchored not stored refs pending

Arakelov inequality for families of pairs

Junchao Shentu

arxiv:2605.24323 v1 · 2026-05-23 · 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{P272XMH4R3OQTTHUCSQFL2YZ53}

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	2026-05-26T01:02:59.824584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ebfabb0fc8edd09ccf414a055eb19eef8b3ef0c4e9499d70e6eb5e9e8b63b43

Aliases

arxiv: 2605.24323 · arxiv_version: 2605.24323v1 · doi: 10.48550/arxiv.2605.24323 · pith_short_12: P272XMH4R3OQ · pith_short_16: P272XMH4R3OQTTHU · pith_short_8: P272XMH4

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/P272XMH4R3OQTTHUCSQFL2YZ53 \
  | 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: 7ebfabb0fc8edd09ccf414a055eb19eef8b3ef0c4e9499d70e6eb5e9e8b63b43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fc027c09532f5843b22177e08daab3565095d19ab2e40513b8ef75d298bcd71",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-23T01:04:46Z",
    "title_canon_sha256": "d51e1358c744fc7892aef9647ebc997cbc9300a6fd91645332d4f62733700743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24323",
    "kind": "arxiv",
    "version": 1
  }
}