Pith Number

pith:6VHITGR3

pith:2003:6VHITGR3ADWDHYXAICDMR324PR

not attested not anchored not stored refs pending

On the Quantum Density of States and Partitioning an Integer

Muoi N. Tran, M. V. N. Murthy, Rajat K. Bhaduri

arxiv:math-ph/0309020 v1 · 2003-09-08 · math-ph · math.MP · math.NT · nucl-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6VHITGR3ADWDHYXAICDMR324PR}

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	2026-07-04T16:41:39.328503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f54e899a3b00ec33e2e04086c8ef5c7c4ce86739995ad35565032455d27b1d19

Aliases

arxiv: math-ph/0309020 · arxiv_version: math-ph/0309020v1 · doi: 10.48550/arxiv.math-ph/0309020 · pith_short_12: 6VHITGR3ADWD · pith_short_16: 6VHITGR3ADWDHYXA · pith_short_8: 6VHITGR3

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/6VHITGR3ADWDHYXAICDMR324PR \
  | 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: f54e899a3b00ec33e2e04086c8ef5c7c4ce86739995ad35565032455d27b1d19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9220aebfd91539a74a10660b21e5636001e9488f3083e5567b38cdb402d235de",
    "cross_cats_sorted": [
      "math.MP",
      "math.NT",
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-09-08T16:15:34Z",
    "title_canon_sha256": "5fb3a878a4a47952946c0d7f08f2615a9d6d866b7125499b862eb32490da427a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0309020",
    "kind": "arxiv",
    "version": 1
  }
}