Pith Number

pith:COPIHDSD

pith:2010:COPIHDSDTA2EZUGKFH6ILS7Y7Z

not attested not anchored not stored refs pending

From the Equations of Motion to the Canonical Commutation Relations

Elisa Ercolessi, Giuseppe Marmo, Giuseppe Morandi

arxiv:1005.1164 v1 · 2010-05-07 · 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{COPIHDSDTA2EZUGKFH6ILS7Y7Z}

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	2026-05-18T04:30:14.408291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

139e838e4398344cd0ca29fc85cbf8fe4f3874c13cbe121e4d26cc3836cc1bd3

Aliases

arxiv: 1005.1164 · arxiv_version: 1005.1164v1 · doi: 10.48550/arxiv.1005.1164 · pith_short_12: COPIHDSDTA2E · pith_short_16: COPIHDSDTA2EZUGK · pith_short_8: COPIHDSD

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/COPIHDSDTA2EZUGKFH6ILS7Y7Z \
  | 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: 139e838e4398344cd0ca29fc85cbf8fe4f3874c13cbe121e4d26cc3836cc1bd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a6272068728d52fa9f88b33016957ae10174a2f2926f62e3bf5d76fe7897aab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-05-07T09:11:05Z",
    "title_canon_sha256": "f9d52ddec47f5ec12c46ccf6b8ab9dd486ce0f53c8caf67e83825cf79d4a88b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1164",
    "kind": "arxiv",
    "version": 1
  }
}