Pith Number

pith:6MRBSYRI

pith:2013:6MRBSYRIKAC5S3R6OELMTGP6IP

not attested not anchored not stored refs pending

From microscopic theory to macroscopic theory: symmetries and order parameters of rigid molecules

Jie Xu, Pingwen Zhang

arxiv:1305.4726 v1 · 2013-05-21 · 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{6MRBSYRIKAC5S3R6OELMTGP6IP}

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	2026-05-18T00:29:54.149396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3221962285005d96e3e7116c999fe43db0c0048bfd514210a06155b87fb0372

Aliases

arxiv: 1305.4726 · arxiv_version: 1305.4726v1 · doi: 10.48550/arxiv.1305.4726 · pith_short_12: 6MRBSYRIKAC5 · pith_short_16: 6MRBSYRIKAC5S3R6 · pith_short_8: 6MRBSYRI

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/6MRBSYRIKAC5S3R6OELMTGP6IP \
  | 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: f3221962285005d96e3e7116c999fe43db0c0048bfd514210a06155b87fb0372

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cabfdee8690c5d4d8d1646cdc5bf1d3872405aaaa7232e9345de01e9e797f83",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-05-21T06:33:12Z",
    "title_canon_sha256": "b8b519d0ea68b4f1d419104252a898825596794700ed841865dddae9dc59e2bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4726",
    "kind": "arxiv",
    "version": 1
  }
}