Pith Number

pith:M5BLH54U

pith:2012:M5BLH54UCP3RE5QOX2UROV47VU

not attested not anchored not stored refs pending

Majorization in spaces with a curved geometry

Constantin P. Niculescu, Ionel Roventa

arxiv:1204.0929 v1 · 2012-04-04 · 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{M5BLH54UCP3RE5QOX2UROV47VU}

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	2026-05-18T03:58:37.400614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6742b3f79413f712760ebea917579fad3f08ea02a93b5191f2500e0535c327d3

Aliases

arxiv: 1204.0929 · arxiv_version: 1204.0929v1 · doi: 10.48550/arxiv.1204.0929 · pith_short_12: M5BLH54UCP3R · pith_short_16: M5BLH54UCP3RE5QO · pith_short_8: M5BLH54U

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/M5BLH54UCP3RE5QOX2UROV47VU \
  | 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: 6742b3f79413f712760ebea917579fad3f08ea02a93b5191f2500e0535c327d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cfb292f158fe4e8210c07b7114179b9a16ec7135edf666d4c562d678a23ed5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-04-04T11:49:28Z",
    "title_canon_sha256": "9f36357602bc9603e5dbc9ec7d0ed26b09272fae2b27e1a090d91fcc1bd45d04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0929",
    "kind": "arxiv",
    "version": 1
  }
}