Pith Number

pith:YE3TQSAQ

pith:2013:YE3TQSAQC7IYJXBZPM4FBEJ27Z

not attested not anchored not stored refs pending

Dynamics of Unitary Operators

David Damanik (Rice University), Jake Fillman (Rice University), Robert Vance (Rice University)

arxiv:1308.1811 v2 · 2013-08-08 · math.SP · math-ph · math.DS · 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{YE3TQSAQC7IYJXBZPM4FBEJ27Z}

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	2026-05-18T01:26:03.173892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c13738481017d184dc397b3850913afe7603703648d72e0e51abddabae967f8d

Aliases

arxiv: 1308.1811 · arxiv_version: 1308.1811v2 · doi: 10.48550/arxiv.1308.1811 · pith_short_12: YE3TQSAQC7IY · pith_short_16: YE3TQSAQC7IYJXBZ · pith_short_8: YE3TQSAQ

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/YE3TQSAQC7IYJXBZPM4FBEJ27Z \
  | 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: c13738481017d184dc397b3850913afe7603703648d72e0e51abddabae967f8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4b2b4211e07d1e3bc9ff8814aa5a35c17f41cd3aba28a3acd19d5a0b3682531",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-08-08T10:33:48Z",
    "title_canon_sha256": "2f17ff9df1fef2fc19ab5abebbb22cfd65db46928ffb7e7d30fe56d8a1d58dc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1811",
    "kind": "arxiv",
    "version": 2
  }
}