Pith Number

pith:YP77CB2M

pith:2015:YP77CB2MLTOFE6MQYC2TI7WZ6P

not attested not anchored not stored refs pending

Hydrodynamic equations for an electron gas in graphene

Luigi Barletti

arxiv:1509.04843 v2 · 2015-09-16 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YP77CB2MLTOFE6MQYC2TI7WZ6P}

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	2026-05-18T01:16:07.059644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3fff1074c5cdc527990c0b5347ed9f3e2c4601e20a8bbf4acba0aafcb61f453

Aliases

arxiv: 1509.04843 · arxiv_version: 1509.04843v2 · doi: 10.48550/arxiv.1509.04843 · pith_short_12: YP77CB2MLTOF · pith_short_16: YP77CB2MLTOFE6MQ · pith_short_8: YP77CB2M

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/YP77CB2MLTOFE6MQYC2TI7WZ6P \
  | 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: c3fff1074c5cdc527990c0b5347ed9f3e2c4601e20a8bbf4acba0aafcb61f453

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65cd01d09610444e0a0fcacd1c0323889958011f1c9458d6b72bd5f15d9de637",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-16T07:44:46Z",
    "title_canon_sha256": "22efaad72d8649072c891e5129b1a3d98747bf41d92390ad229c1342a7e539dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04843",
    "kind": "arxiv",
    "version": 2
  }
}