Pith Number

pith:AFWR57GR

pith:2012:AFWR57GRJND45DIRPDRPEJQPZ7

not attested not anchored not stored refs pending

Relativistic hydrodynamics from projection operator method

Yoshimasa Hidaka, Yuki Minami

arxiv:1210.1313 v2 · 2012-10-04 · hep-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AFWR57GRJND45DIRPDRPEJQPZ7}

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	2026-05-18T00:22:21.470048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

016d1efcd14b47ce8d1178e2f2260fcfe411f39647e62ff8a43a3db9c2d2dda2

Aliases

arxiv: 1210.1313 · arxiv_version: 1210.1313v2 · doi: 10.48550/arxiv.1210.1313 · pith_short_12: AFWR57GRJND4 · pith_short_16: AFWR57GRJND45DIR · pith_short_8: AFWR57GR

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/AFWR57GRJND45DIRPDRPEJQPZ7 \
  | 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: 016d1efcd14b47ce8d1178e2f2260fcfe411f39647e62ff8a43a3db9c2d2dda2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fa601a7cb5e8d2c7a5cb0168f2f56492391ac7e1ff8dfaf0a9b9e55b8ca9ba7",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-10-04T06:53:04Z",
    "title_canon_sha256": "9993a2998b67b4e74d843bd80696a03b8e7b7be7fe371ed0a2c16f2bfd249d3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1313",
    "kind": "arxiv",
    "version": 2
  }
}