Pith Number

pith:7Y7FST2C

pith:2016:7Y7FST2CTXB5DFZOCHHZV6ZCF3

not attested not anchored not stored refs pending

3d steady Gradient Ricci Solitons with linear curvature decay

Xiaohua Zhu, Yuxing Deng

arxiv:1612.05713 v1 · 2016-12-17 · 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{7Y7FST2CTXB5DFZOCHHZV6ZCF3}

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	2026-05-18T00:54:46.888242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe3e594f429dc3d1972e11cf9afb222ef45cca117853ce636a5a6ab96c70b018

Aliases

arxiv: 1612.05713 · arxiv_version: 1612.05713v1 · doi: 10.48550/arxiv.1612.05713 · pith_short_12: 7Y7FST2CTXB5 · pith_short_16: 7Y7FST2CTXB5DFZO · pith_short_8: 7Y7FST2C

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/7Y7FST2CTXB5DFZOCHHZV6ZCF3 \
  | 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: fe3e594f429dc3d1972e11cf9afb222ef45cca117853ce636a5a6ab96c70b018

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "550996bd7e6bd93164d652583ad1807718989c79d49fee8476ac9992d89aaf34",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-12-17T07:10:18Z",
    "title_canon_sha256": "6ffad63566168c6f831c5aabccc6074f88c532f8620b314d2cfa966bcf963a40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05713",
    "kind": "arxiv",
    "version": 1
  }
}