Pith Number

pith:6QTYUIYH

pith:2011:6QTYUIYHZXOG7EG4AEXNMM6VQD

not attested not anchored not stored refs pending

Optimal transport by omni-potential flow and cosmological reconstruction

Barbara Villone, Olga Podvigina, Uriel Frisch, Vladislav Zheligovsky

arxiv:1111.2516 v3 · 2011-11-10 · math.AP · astro-ph.CO · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6QTYUIYHZXOG7EG4AEXNMM6VQD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:59:42.533777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4278a2307cddc6f90dc012ed633d580f18bd7d2d05690db511a208f128124f0

Aliases

arxiv: 1111.2516 · arxiv_version: 1111.2516v3 · doi: 10.48550/arxiv.1111.2516 · pith_short_12: 6QTYUIYHZXOG · pith_short_16: 6QTYUIYHZXOG7EG4 · pith_short_8: 6QTYUIYH

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/6QTYUIYHZXOG7EG4AEXNMM6VQD \
  | 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: f4278a2307cddc6f90dc012ed633d580f18bd7d2d05690db511a208f128124f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd90718124195b9a99bfe60e33de82a08ee37b89baa5d3ae3b48ec3d78ba234f",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-10T16:44:59Z",
    "title_canon_sha256": "08bd5de38f4ea7bd95c4a109f037d320b2f065296e72f620598c88b303ef93bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2516",
    "kind": "arxiv",
    "version": 3
  }
}