Pith Number

pith:3GRPJDH6

pith:2005:3GRPJDH6YCFW4MKHEXENQY6GNF

not attested not anchored not stored refs pending

Upper Bounds in Quantum Dynamics

David Damanik (Caltech), Serguei Tcheremchantsev (Universite d'Orleans)

arxiv:math-ph/0502044 v1 · 2005-02-22 · 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{3GRPJDH6YCFW4MKHEXENQY6GNF}

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	2026-05-18T02:30:23.168591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9a2f48cfec08b6e314725c8d863c6695318a7035112125c29e191dfc5b77b58

Aliases

arxiv: math-ph/0502044 · arxiv_version: math-ph/0502044v1 · doi: 10.48550/arxiv.math-ph/0502044 · pith_short_12: 3GRPJDH6YCFW · pith_short_16: 3GRPJDH6YCFW4MKH · pith_short_8: 3GRPJDH6

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/3GRPJDH6YCFW4MKHEXENQY6GNF \
  | 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: d9a2f48cfec08b6e314725c8d863c6695318a7035112125c29e191dfc5b77b58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a572792c700d09a8461d69914d4b4cdd65495d9d969ffd8864416b0c9ef8cf5",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-02-22T17:36:37Z",
    "title_canon_sha256": "e5e5497f137d0459457dc2ba01058bd266de9ef3b02207a71c244882ddd312c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0502044",
    "kind": "arxiv",
    "version": 1
  }
}