Pith Number

pith:S7OGB2KH

pith:2012:S7OGB2KHFX3JI75OMNPLTVDXBO

not attested not anchored not stored refs pending

Improved geodesics for the reduced curvature-dimension condition in branching metric spaces

Tapio Rajala

arxiv:1202.6514 v1 · 2012-02-29 · math.DG · math.AP · math.FA · 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{S7OGB2KHFX3JI75OMNPLTVDXBO}

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	2026-05-18T04:01:12.314992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97dc60e9472df6947fae635eb9d4770b8bc4809635856e95366976862ea34dde

Aliases

arxiv: 1202.6514 · arxiv_version: 1202.6514v1 · doi: 10.48550/arxiv.1202.6514 · pith_short_12: S7OGB2KHFX3J · pith_short_16: S7OGB2KHFX3JI75O · pith_short_8: S7OGB2KH

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/S7OGB2KHFX3JI75OMNPLTVDXBO \
  | 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: 97dc60e9472df6947fae635eb9d4770b8bc4809635856e95366976862ea34dde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c88b8aecdb943aebeb086cbff748a5acc8780a99aea8b0ef48c953f2d403f84c",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-02-29T11:12:29Z",
    "title_canon_sha256": "c50021e08f8161c44a15c1097fe6565ab77df1cc00e37a389abd4e1f3177ab4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6514",
    "kind": "arxiv",
    "version": 1
  }
}