Pith Number

pith:VB6W73PZ

pith:1999:VB6W73PZX2LPZ3QBG4T76C5GHK

not attested not anchored not stored refs pending

Goldstone Boson Normal Coordinates in Interacting Bose Gases

A. Verbeure, T. Michoel

arxiv:math-ph/9903003 v1 · 1999-03-01 · math-ph · 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{VB6W73PZX2LPZ3QBG4T76C5GHK}

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	2026-05-18T01:38:30.628689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a87d6fedf9be96fcee013727ff0ba63a822816462acbaa0d16e59b322509a6a5

Aliases

arxiv: math-ph/9903003 · arxiv_version: math-ph/9903003v1 · doi: 10.48550/arxiv.math-ph/9903003 · pith_short_12: VB6W73PZX2LP · pith_short_16: VB6W73PZX2LPZ3QB · pith_short_8: VB6W73PZ

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/VB6W73PZX2LPZ3QBG4T76C5GHK \
  | 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: a87d6fedf9be96fcee013727ff0ba63a822816462acbaa0d16e59b322509a6a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b563a831f774e263aae77232dce3e73c4187030af9995d673098b24626793ef6",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1999-03-01T09:01:54Z",
    "title_canon_sha256": "b8d99677087452e5c7e75ccdebf13f98d5140977d3ba2ac10c4be990fdaa13fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9903003",
    "kind": "arxiv",
    "version": 1
  }
}