Pith Number

pith:Q7WHV4QV

pith:2011:Q7WHV4QVLNCXLIWTWVT5GVEHPR

not attested not anchored not stored refs pending

From Navier-Stokes To Einstein

Andrew Strominger, Cynthia Keeler, Irene Bredberg, Vyacheslav Lysov

arxiv:1101.2451 v2 · 2011-01-12 · hep-th · gr-qc · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q7WHV4QVLNCXLIWTWVT5GVEHPR}

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	2026-05-18T00:37:38.089886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87ec7af2155b4575a2d3b567d354877c710021d9dd511e488224c12c2a8d5b21

Aliases

arxiv: 1101.2451 · arxiv_version: 1101.2451v2 · doi: 10.48550/arxiv.1101.2451 · pith_short_12: Q7WHV4QVLNCX · pith_short_16: Q7WHV4QVLNCXLIWT · pith_short_8: Q7WHV4QV

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/Q7WHV4QVLNCXLIWTWVT5GVEHPR \
  | 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: 87ec7af2155b4575a2d3b567d354877c710021d9dd511e488224c12c2a8d5b21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df97d012bd62ca84fccbe752ea5b764633bfebd61de5c2be5ff03940cc221d89",
    "cross_cats_sorted": [
      "gr-qc",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-01-12T21:01:26Z",
    "title_canon_sha256": "1fe2856d2684aa0cc61afec186854b377aaad08657c316d9ba59837057a309f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2451",
    "kind": "arxiv",
    "version": 2
  }
}