Pith Number

pith:TYIPQBAW

pith:2000:TYIPQBAWAJX7XEHIRLYVBICBCT

not attested not anchored not stored refs pending

Ground States in Non-relativistic Quantum Electrodynamics

Elliott H. Lieb, Marcel Griesemer, Michael Loss

arxiv:math-ph/0007014 v2 · 2000-07-11 · math-ph · hep-th · 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{TYIPQBAWAJX7XEHIRLYVBICBCT}

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	2026-07-04T16:21:10.902050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e10f80416026ffb90e88af150a04114ed8e373c98d550db85b26e7cab131d6e

Aliases

arxiv: math-ph/0007014 · arxiv_version: math-ph/0007014v2 · doi: 10.48550/arxiv.math-ph/0007014 · pith_short_12: TYIPQBAWAJX7 · pith_short_16: TYIPQBAWAJX7XEHI · pith_short_8: TYIPQBAW

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/TYIPQBAWAJX7XEHIRLYVBICBCT \
  | 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: 9e10f80416026ffb90e88af150a04114ed8e373c98d550db85b26e7cab131d6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be48b1c4def04eba29f38c90436be63c87a502028cdfd3c8eaa0d3bc151c830b",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-07-11T01:25:51Z",
    "title_canon_sha256": "ecdc52d452e171a0a965819befd31cfcdf26e5133b0275216534048f7a247b34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0007014",
    "kind": "arxiv",
    "version": 2
  }
}