Pith Number

pith:5GKUNLCU

pith:2014:5GKUNLCUSMYJFPQ5FSLQ54TRCY

not attested not anchored not stored refs pending

Structure Theory of Metric-Measure Spaces with Lower Ricci Curvature Bounds

Aaron Naber, Andrea Mondino

arxiv:1405.2222 v3 · 2014-05-09 · 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{5GKUNLCUSMYJFPQ5FSLQ54TRCY}

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	2026-05-17T23:46:56.028435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e99546ac54933092be1d2c970ef271161190743851de31ff46a6486012a71066

Aliases

arxiv: 1405.2222 · arxiv_version: 1405.2222v3 · doi: 10.48550/arxiv.1405.2222 · pith_short_12: 5GKUNLCUSMYJ · pith_short_16: 5GKUNLCUSMYJFPQ5 · pith_short_8: 5GKUNLCU

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/5GKUNLCUSMYJFPQ5FSLQ54TRCY \
  | 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: e99546ac54933092be1d2c970ef271161190743851de31ff46a6486012a71066

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ac0580819b5612f787eabfd0b5c39301e9b2188b14fd19abe6fc3ce45d0ac81",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-05-09T13:13:40Z",
    "title_canon_sha256": "332d65a9f7bc2b3745445da25f6945f720cce7aef232e54d6014a4894d832a63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2222",
    "kind": "arxiv",
    "version": 3
  }
}