Pith Number

pith:KTJWVQ5W

pith:2013:KTJWVQ5WRGEXY4RMNXVLKAOW7W

not attested not anchored not stored refs pending

Average methods and their applications in Differential Geometry I

Csaba Vincze

arxiv:1309.0827 v2 · 2013-09-03 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KTJWVQ5WRGEXY4RMNXVLKAOW7W}

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	2026-05-18T03:04:08.202034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54d36ac3b689897c722c6deab501d6fd980e877de1fcc2f4b069a75832290abe

Aliases

arxiv: 1309.0827 · arxiv_version: 1309.0827v2 · doi: 10.48550/arxiv.1309.0827 · pith_short_12: KTJWVQ5WRGEX · pith_short_16: KTJWVQ5WRGEXY4RM · pith_short_8: KTJWVQ5W

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/KTJWVQ5WRGEXY4RMNXVLKAOW7W \
  | 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: 54d36ac3b689897c722c6deab501d6fd980e877de1fcc2f4b069a75832290abe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80d41934914abfd076d2324409adc83609854af18bdc77996c423f2d67bd9730",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-09-03T20:11:53Z",
    "title_canon_sha256": "74a62416cf9e8d3ceff67d66cb404172a33c2eebf3091f7c6e8fbed9d5731494"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0827",
    "kind": "arxiv",
    "version": 2
  }
}