Pith Number

pith:C63TKGKF

pith:2017:C63TKGKFIPENZ5DFJ5DYFYO24K

not attested not anchored not stored refs pending

Eulerian dynamics with a commutator forcing II: flocking

E. Tadmor, R. Shvydkoy

arxiv:1701.07710 v1 · 2017-01-26 · 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{C63TKGKFIPENZ5DFJ5DYFYO24K}

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	2026-05-18T00:52:02.790923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17b735194543c8dcf4654f4782e1dae2acad9f508ab93197cf1a1d7c7c720364

Aliases

arxiv: 1701.07710 · arxiv_version: 1701.07710v1 · doi: 10.48550/arxiv.1701.07710 · pith_short_12: C63TKGKFIPEN · pith_short_16: C63TKGKFIPENZ5DF · pith_short_8: C63TKGKF

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/C63TKGKFIPENZ5DFJ5DYFYO24K \
  | 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: 17b735194543c8dcf4654f4782e1dae2acad9f508ab93197cf1a1d7c7c720364

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62c9ff995ec7f574aa686a50101cb177a3fbb350ba3f26734da594b5ba686fef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-01-26T14:11:32Z",
    "title_canon_sha256": "1b671c3123c8319c34805fd5f31f3cc375eff2f26b1dc653ca3d111b6dbf1fe8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07710",
    "kind": "arxiv",
    "version": 1
  }
}