Pith Number

pith:AV2NW32A

pith:2016:AV2NW32AUU2V2EG5MBA6QJFNJK

not attested not anchored not stored refs pending

Large dispersion, averaging and attractors: three 1D paradigms

Anna Kostianko, Edriss Titi, Sergey Zelik

arxiv:1601.00317 v1 · 2016-01-03 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AV2NW32AUU2V2EG5MBA6QJFNJK}

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	2026-05-18T01:23:27.824512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0574db6f40a5355d10dd6041e824ad4ab329c9a830e661a974ce9f1486b1b164

Aliases

arxiv: 1601.00317 · arxiv_version: 1601.00317v1 · doi: 10.48550/arxiv.1601.00317 · pith_short_12: AV2NW32AUU2V · pith_short_16: AV2NW32AUU2V2EG5 · pith_short_8: AV2NW32A

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/AV2NW32AUU2V2EG5MBA6QJFNJK \
  | 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: 0574db6f40a5355d10dd6041e824ad4ab329c9a830e661a974ce9f1486b1b164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad0f1736f5fe9bfe3961f0b3c54303a17285a692d52d2819cdc4173b05f5b21a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-03T18:02:31Z",
    "title_canon_sha256": "31c98d294d27d3fae815778ce2a729dbe36b91c491e9033ed3f18fbfe3d82d17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00317",
    "kind": "arxiv",
    "version": 1
  }
}