Pith Number

pith:75ZPVQ72

pith:2011:75ZPVQ72FOJ5L7XWDI4ZJQJPVR

not attested not anchored not stored refs pending

Velocity averaging -- a general framework

Darko Mitrovic, Martin Lazar

arxiv:1107.2616 v3 · 2011-07-13 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{75ZPVQ72FOJ5L7XWDI4ZJQJPVR}

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	2026-05-18T03:45:01.068235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff72fac3fa2b93d5fef61a3994c12fac542cf049c51b906caa4926f6d22d467b

Aliases

arxiv: 1107.2616 · arxiv_version: 1107.2616v3 · doi: 10.48550/arxiv.1107.2616 · pith_short_12: 75ZPVQ72FOJ5 · pith_short_16: 75ZPVQ72FOJ5L7XW · pith_short_8: 75ZPVQ72

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/75ZPVQ72FOJ5L7XWDI4ZJQJPVR \
  | 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: ff72fac3fa2b93d5fef61a3994c12fac542cf049c51b906caa4926f6d22d467b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5214f1f3de3cf7db864d7fbd9feabe8860af789437b010797daa0ca243ad7b54",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-13T17:53:23Z",
    "title_canon_sha256": "d2a5746ce8cc7cf3223d4a9d05b8a087cf6f0267e0ed1784f3538d4bc5c26be8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2616",
    "kind": "arxiv",
    "version": 3
  }
}