Pith Number

pith:TYJXBJ2K

pith:2018:TYJXBJ2KZ4ZJSLTRXLAU6FECBF

not attested not anchored not stored refs pending

Rigidity of closed CSL submanifolds in the unit sphere

Linlin Sun, Yong Luo

arxiv:1811.02839 v1 · 2018-11-07 · 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{TYJXBJ2KZ4ZJSLTRXLAU6FECBF}

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	2026-05-18T00:01:20.643337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e1370a74acf32992e71bac14f1482094c46a35aee571a3cd946d42fb422c6cf

Aliases

arxiv: 1811.02839 · arxiv_version: 1811.02839v1 · doi: 10.48550/arxiv.1811.02839 · pith_short_12: TYJXBJ2KZ4ZJ · pith_short_16: TYJXBJ2KZ4ZJSLTR · pith_short_8: TYJXBJ2K

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/TYJXBJ2KZ4ZJSLTRXLAU6FECBF \
  | 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: 9e1370a74acf32992e71bac14f1482094c46a35aee571a3cd946d42fb422c6cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a05ec8c60e3c540434c0ec1b3ea2f787149ac8567564b3bdd2dd5b5381decf4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-11-07T11:25:58Z",
    "title_canon_sha256": "ccd52c8ef26d30ea484bbe9bce6b26b390a1cf79faccd23fd413743ff2101b57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02839",
    "kind": "arxiv",
    "version": 1
  }
}