Pith Number

pith:EYLGJJRF

pith:2013:EYLGJJRFPBH4WF7M6JGV2TD4ZL

not attested not anchored not stored refs pending

Relative Noether inequality on fibered surfaces

Tong Zhang, Xinyi Yuan

arxiv:1304.6122 v1 · 2013-04-22 · 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{EYLGJJRFPBH4WF7M6JGV2TD4ZL}

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	2026-05-18T03:27:22.351853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

261664a625784fcb17ecf24d5d4c7ccaf65aecd533ebf82aaf9471d25141c029

Aliases

arxiv: 1304.6122 · arxiv_version: 1304.6122v1 · doi: 10.48550/arxiv.1304.6122 · pith_short_12: EYLGJJRFPBH4 · pith_short_16: EYLGJJRFPBH4WF7M · pith_short_8: EYLGJJRF

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/EYLGJJRFPBH4WF7M6JGV2TD4ZL \
  | 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: 261664a625784fcb17ecf24d5d4c7ccaf65aecd533ebf82aaf9471d25141c029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38d4cf9552e3158e1f46609200f5cb0a31291fb2d7acf828f1dca04319ebf156",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-22T22:34:05Z",
    "title_canon_sha256": "bb4000c39ff50b5684e2ede1ce34af8f3128c7a104de5d58e169da83fdd7acae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6122",
    "kind": "arxiv",
    "version": 1
  }
}