Pith Number

pith:E3CNF5Z2

pith:2013:E3CNF5Z2IAL7YBK5UVFBUEJQBR

not attested not anchored not stored refs pending

Null Phase Curves and Manifolds in Geometric Phase Theory

A. Ibort, E. Ercolessi, G. Marmo, G. Morandi, N. Mukunda, R. Simon, S. Chaturvedi

arxiv:1302.0206 v1 · 2013-02-01 · 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{E3CNF5Z2IAL7YBK5UVFBUEJQBR}

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	2026-05-18T01:51:51.348210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26c4d2f73a4017fc055da54a1a11300c6dbc72327c1b73395220b4d7f2307167

Aliases

arxiv: 1302.0206 · arxiv_version: 1302.0206v1 · doi: 10.48550/arxiv.1302.0206 · pith_short_12: E3CNF5Z2IAL7 · pith_short_16: E3CNF5Z2IAL7YBK5 · pith_short_8: E3CNF5Z2

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/E3CNF5Z2IAL7YBK5UVFBUEJQBR \
  | 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: 26c4d2f73a4017fc055da54a1a11300c6dbc72327c1b73395220b4d7f2307167

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6788a32fa92f720107f084e93b53df7513afbb3dab0b60b717505848a5202b77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-02-01T15:17:21Z",
    "title_canon_sha256": "347509859e5be3fbeb3d9e5edb457524f6f45637a271bf3228bc5d7282e56a3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0206",
    "kind": "arxiv",
    "version": 1
  }
}