Pith Number

pith:5FJHWGSF

pith:2019:5FJHWGSFE4HGJHAOCJMHKEQMHQ

not attested not anchored not stored refs pending

Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme

Sayantani Lahiri

arxiv:1908.09462 v2 · 2019-08-23 · gr-qc · hep-th · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FJHWGSFE4HGJHAOCJMHKEQMHQ}

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	2026-07-05T00:38:33.517797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9527b1a45270e649c0e125875120c3c375029abfc771adbbb0fcea6bc2520dc

Aliases

arxiv: 1908.09462 · arxiv_version: 1908.09462v2 · doi: 10.48550/arxiv.1908.09462 · pith_short_12: 5FJHWGSFE4HG · pith_short_16: 5FJHWGSFE4HGJHAO · pith_short_8: 5FJHWGSF

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/5FJHWGSFE4HGJHAOCJMHKEQMHQ \
  | 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: e9527b1a45270e649c0e125875120c3c375029abfc771adbbb0fcea6bc2520dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "558c227cff726374d5c7ddccf6193551e84cfd97c32aa9f60a33d738df9ab3b0",
    "cross_cats_sorted": [
      "hep-th",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-08-23T12:37:42Z",
    "title_canon_sha256": "93cdf1df6dc5f1724f3eb5717098343b84d4c7264614e3b69a5b1ce80f64652c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09462",
    "kind": "arxiv",
    "version": 2
  }
}