Pith Number

pith:IYHP6EWP

pith:2014:IYHP6EWP4IHWC3U6PY6AO7CD2E

not attested not anchored not stored refs pending

Two applications of the Schwarz lemma

Bingyuan Liu

arxiv:1412.2680 v3 · 2014-12-08 · math.CV · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IYHP6EWP4IHWC3U6PY6AO7CD2E}

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	2026-05-18T02:29:24.644586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

460eff12cfe20f616e9e7e3c077c43d13e108245908659002970954d55a2599e

Aliases

arxiv: 1412.2680 · arxiv_version: 1412.2680v3 · doi: 10.48550/arxiv.1412.2680 · pith_short_12: IYHP6EWP4IHW · pith_short_16: IYHP6EWP4IHWC3U6 · pith_short_8: IYHP6EWP

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/IYHP6EWP4IHWC3U6PY6AO7CD2E \
  | 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: 460eff12cfe20f616e9e7e3c077c43d13e108245908659002970954d55a2599e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b694216b2cd903e6e73f46c06687fb1968bd0aac1c976789e660ff4dc85a326f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-12-08T17:55:18Z",
    "title_canon_sha256": "47a57c847872f65ae95e2a54b724d699ce5e1f23bcfe244ba8b3611665137994"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2680",
    "kind": "arxiv",
    "version": 3
  }
}