Pith Number

pith:BN6ZAN6N

pith:2021:BN6ZAN6NBPD7I53KE3RLS2HWA2

not attested not anchored not stored refs pending

Reciprocity of thermal diffusion in time-modulated systems

Andrea Al\`u, Baowen Li, Cheng-Wei Qiu, Jiaxin Li, Pei-Chao Cao, Xue-Feng Zhu, Xu Zheng, Ying Li, Yu-Gui Peng

arxiv:2103.11164 v1 · 2021-03-20 · physics.app-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{BN6ZAN6NBPD7I53KE3RLS2HWA2}

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	2026-07-05T03:48:40.157106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b7d9037cd0bc7f4776a26e2b968f606980d040538450316b6e07ad12bbdee34

Aliases

arxiv: 2103.11164 · arxiv_version: 2103.11164v1 · doi: 10.48550/arxiv.2103.11164 · pith_short_12: BN6ZAN6NBPD7 · pith_short_16: BN6ZAN6NBPD7I53K · pith_short_8: BN6ZAN6N

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/BN6ZAN6NBPD7I53KE3RLS2HWA2 \
  | 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: 0b7d9037cd0bc7f4776a26e2b968f606980d040538450316b6e07ad12bbdee34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69ecddd73d7d46fecd1df22012192daf16ad0c1741f1e0cf9bf62beafc3cae6d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.app-ph",
    "submitted_at": "2021-03-20T11:50:22Z",
    "title_canon_sha256": "6362f9ee11d0924dbae8f634922ac9f157143bbb6bdea0cc4e47a51daaaf49bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.11164",
    "kind": "arxiv",
    "version": 1
  }
}