Pith Number

pith:67C476V5

pith:2012:67C476V53DK7WCAOMWBJXSLOYO

not attested not anchored not stored refs pending

On the Averaging Principle

Arieh Gavious, Eilon Solan, Gadi Fibich

arxiv:1204.0813 v1 · 2012-04-03 · math.CA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67C476V53DK7WCAOMWBJXSLOYO}

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	2026-05-18T03:58:37.701112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7c5cffabdd8d5fb080e65829bc96ec3acf390c0785f89405a003a0c35adfa9e

Aliases

arxiv: 1204.0813 · arxiv_version: 1204.0813v1 · doi: 10.48550/arxiv.1204.0813 · pith_short_12: 67C476V53DK7 · pith_short_16: 67C476V53DK7WCAO · pith_short_8: 67C476V5

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/67C476V53DK7WCAOMWBJXSLOYO \
  | 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: f7c5cffabdd8d5fb080e65829bc96ec3acf390c0785f89405a003a0c35adfa9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "174e3305717c512d530b820f70cd5eaab8f3821e412f04080fc6c32c2b81ef63",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-04-03T21:13:44Z",
    "title_canon_sha256": "0642ddb52d20f1d859d9e708804d7660265be84142a27dbae98daaeee0578e6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0813",
    "kind": "arxiv",
    "version": 1
  }
}