Pith Number

pith:6SWPJWRQ

pith:2021:6SWPJWRQRKIHIKAT3EQ3WM34LI

not attested not anchored not stored refs pending

New definitions of Alexandrov space and applications

Shengqi Hu, Xiaole Su, Yusheng Wang

arxiv:2102.02112 v2 · 2021-02-03 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6SWPJWRQRKIHIKAT3EQ3WM34LI}

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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.

Cited by

1 paper in Pith

Alexandrov spaces with non negative curvature and displacement convexity of the entropy tensor

Receipt and verification

First computed	2026-07-05T06:45:31.319544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4acf4da308a90742813d921bb337c5a28596f593c4a4699c66ee444beb93773

Aliases

arxiv: 2102.02112 · arxiv_version: 2102.02112v2 · doi: 10.48550/arxiv.2102.02112 · pith_short_12: 6SWPJWRQRKIH · pith_short_16: 6SWPJWRQRKIHIKAT · pith_short_8: 6SWPJWRQ

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/6SWPJWRQRKIHIKAT3EQ3WM34LI \
  | 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: f4acf4da308a90742813d921bb337c5a28596f593c4a4699c66ee444beb93773

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e60f0c70364f1c1b320e67423f16a2ca4e00f370dd8b9a7d3cff3cc962654655",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-02-03T15:42:32Z",
    "title_canon_sha256": "42a317cef085b5fb314290110790f7baec61fb6237ea06d4cf82840c5770c1b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.02112",
    "kind": "arxiv",
    "version": 2
  }
}