Pith Number

pith:SJ2FSXE7

pith:2017:SJ2FSXE7LD6TQOKPQ5LXUOW7DO

not attested not anchored not stored refs pending

Remarks about Synthetic Upper Ricci Bounds for Metric Measure Spaces

Karl-Theodor Sturm

arxiv:1711.01707 v2 · 2017-11-06 · math.DG · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SJ2FSXE7LD6TQOKPQ5LXUOW7DO}

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	2026-05-18T00:28:01.758597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9274595c9f58fd38394f87577a3adf1ba9716551d8a48fb5d57441f27246911b

Aliases

arxiv: 1711.01707 · arxiv_version: 1711.01707v2 · doi: 10.48550/arxiv.1711.01707 · pith_short_12: SJ2FSXE7LD6T · pith_short_16: SJ2FSXE7LD6TQOKP · pith_short_8: SJ2FSXE7

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/SJ2FSXE7LD6TQOKPQ5LXUOW7DO \
  | 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: 9274595c9f58fd38394f87577a3adf1ba9716551d8a48fb5d57441f27246911b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7a15ceec0bc232e11c1c00715be379eeb5dd37abdc84937f1b3c0d951e18de1",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-11-06T03:19:03Z",
    "title_canon_sha256": "df401b025ffa6a18f18d9495a88a73da3b31df3e4f0f03d0409f7b77e3c26c54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01707",
    "kind": "arxiv",
    "version": 2
  }
}