Pith Number

pith:OE52XEVO

pith:2012:OE52XEVORS75SUNOBBXSTDLNKK

not attested not anchored not stored refs pending

Non-branching geodesics and optimal maps in strong CD(K,{\infty})-spaces

Karl-Theodor Sturm, Tapio Rajala

arxiv:1207.6754 v2 · 2012-07-29 · 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{OE52XEVORS75SUNOBBXSTDLNKK}

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	2026-05-18T03:18:31.717220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

713bab92ae8cbfd951ae086f298d6d528a4473c863f9b2488a764f177bc9abb9

Aliases

arxiv: 1207.6754 · arxiv_version: 1207.6754v2 · doi: 10.48550/arxiv.1207.6754 · pith_short_12: OE52XEVORS75 · pith_short_16: OE52XEVORS75SUNO · pith_short_8: OE52XEVO

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/OE52XEVORS75SUNOBBXSTDLNKK \
  | 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: 713bab92ae8cbfd951ae086f298d6d528a4473c863f9b2488a764f177bc9abb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90d2f42a3733c8dc9a3a9136fa6a50a7d454e2e99bf5b7fdf942b812161c91aa",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-29T07:48:42Z",
    "title_canon_sha256": "f3cb605bb2e08bb266fe796a4c041d428f1eb3920c530fa98f6749a869a6b6e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6754",
    "kind": "arxiv",
    "version": 2
  }
}