Pith Number

pith:XGKPDQ6A

pith:2012:XGKPDQ6AMHXZHJXFAIO5NBM7RP

not attested not anchored not stored refs pending

Multiscale time averaging, Reloaded

Avy Soffer, Shmuel Fishman

arxiv:1207.1125 v3 · 2012-07-04 · math-ph · math.DS · 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{XGKPDQ6AMHXZHJXFAIO5NBM7RP}

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	2026-05-18T03:15:56.002814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b994f1c3c061ef93a6e5021dd6859f8bf23dcb08f39db4333088a3448bf1ba9e

Aliases

arxiv: 1207.1125 · arxiv_version: 1207.1125v3 · doi: 10.48550/arxiv.1207.1125 · pith_short_12: XGKPDQ6AMHXZ · pith_short_16: XGKPDQ6AMHXZHJXF · pith_short_8: XGKPDQ6A

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/XGKPDQ6AMHXZHJXFAIO5NBM7RP \
  | 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: b994f1c3c061ef93a6e5021dd6859f8bf23dcb08f39db4333088a3448bf1ba9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f04761b4ed9497d2ab88d3db98f832a8edb8ae76624e50c00d25a3af21941fef",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-04T20:57:48Z",
    "title_canon_sha256": "0e146c07a59051ad5a4bd75a78e8632d4ddbd3e70e60024a6c26bcea8aa49b93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1125",
    "kind": "arxiv",
    "version": 3
  }
}