Pith Number

pith:PFFEDXBE

pith:2010:PFFEDXBEONAHKYR7WAVLG2RTB4

not attested not anchored not stored refs pending

Medians and means in Finsler geometry

Frank Nielsen (LIX), Marc Arnaudon (LMA)

arxiv:1011.6076 v2 · 2010-11-28 · math.DG · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFFEDXBEONAHKYR7WAVLG2RTB4}

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	2026-05-17T23:53:36.803790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

794a41dc24734075623fb02ab36a330f1e6874e0119ec82ad243400b2ace677b

Aliases

arxiv: 1011.6076 · arxiv_version: 1011.6076v2 · doi: 10.48550/arxiv.1011.6076 · pith_short_12: PFFEDXBEONAH · pith_short_16: PFFEDXBEONAHKYR7 · pith_short_8: PFFEDXBE

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/PFFEDXBEONAHKYR7WAVLG2RTB4 \
  | 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: 794a41dc24734075623fb02ab36a330f1e6874e0119ec82ad243400b2ace677b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fd88f68852a874021626164438fc9a91721b459853954c844a10374384b1cb0",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-28T19:55:18Z",
    "title_canon_sha256": "f34818bf251f1e888b3c09165631a921b94b0e375745db069c7dd7e342cc16bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6076",
    "kind": "arxiv",
    "version": 2
  }
}