Pith Number

pith:ERB5XWY6

pith:2017:ERB5XWY6X43MYMXG2W4ADWCZMK

not attested not anchored not stored refs pending

On the Li-Yau type gradient estimate of Li and Xu

Chengjie Yu, Feifei Zhao, Zhigang Chen

arxiv:1706.06249 v1 · 2017-06-20 · 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{ERB5XWY6X43MYMXG2W4ADWCZMK}

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	2026-05-18T00:42:03.785528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2443dbdb1ebf36cc32e6d5b801d8596289a9fd528d63745ed337f34e96b79971

Aliases

arxiv: 1706.06249 · arxiv_version: 1706.06249v1 · doi: 10.48550/arxiv.1706.06249 · pith_short_12: ERB5XWY6X43M · pith_short_16: ERB5XWY6X43MYMXG · pith_short_8: ERB5XWY6

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/ERB5XWY6X43MYMXG2W4ADWCZMK \
  | 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: 2443dbdb1ebf36cc32e6d5b801d8596289a9fd528d63745ed337f34e96b79971

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff52a693366f6ce7e333df63c5c3f40dde05d9fb86fae13b861792dc8ebe380e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-06-20T03:02:25Z",
    "title_canon_sha256": "a503cebef28a66891e1d5c2e8c0561b16daf6a2539006563a1f8645c733d8e26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06249",
    "kind": "arxiv",
    "version": 1
  }
}