Pith Number

pith:7AKJXMU3

pith:2015:7AKJXMU3NR7L7NCSI2AY4MUJNQ

not attested not anchored not stored refs pending

Thermal density functional theory: Time-dependent linear response and approximate functionals from the fluctuation-dissipation theorem

Aurora Pribram-Jones, Kieron Burke, Paul E. Grabowski

arxiv:1509.03071 v2 · 2015-09-10 · physics.chem-ph · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7AKJXMU3NR7L7NCSI2AY4MUJNQ}

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	2026-05-18T01:12:30.630084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8149bb29b6c7ebfb45246818e32896c102a81a9fe318f476e58024eeaff9b12

Aliases

arxiv: 1509.03071 · arxiv_version: 1509.03071v2 · doi: 10.48550/arxiv.1509.03071 · pith_short_12: 7AKJXMU3NR7L · pith_short_16: 7AKJXMU3NR7L7NCS · pith_short_8: 7AKJXMU3

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/7AKJXMU3NR7L7NCSI2AY4MUJNQ \
  | 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: f8149bb29b6c7ebfb45246818e32896c102a81a9fe318f476e58024eeaff9b12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a91a3fb9b90ef930a1cc9fdb0c1f5bf3b9242137bb5b63cb17e134d3d65c7c02",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2015-09-10T09:54:14Z",
    "title_canon_sha256": "e068b436ff3a8b8a53d61cc540c98e5e16688d89e33d0957661eff856096cff8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03071",
    "kind": "arxiv",
    "version": 2
  }
}