Pith Number

pith:PJQPS6YP

pith:2007:PJQPS6YP2VHMIASAIE5X5ZNTY2

not attested not anchored not stored refs pending

Exact solutions for the populations of the n-level ion

Jose Manuel Vilchez, Michael Taylor

arxiv:0709.3473 v3 · 2007-09-21 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJQPS6YP2VHMIASAIE5X5ZNTY2}

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	2026-05-18T03:56:08.865428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a60f97b0fd54ec40240413b7ee5b3c69dfcd528410cf575584c45e00c095740

Aliases

arxiv: 0709.3473 · arxiv_version: 0709.3473v3 · doi: 10.48550/arxiv.0709.3473 · pith_short_12: PJQPS6YP2VHM · pith_short_16: PJQPS6YP2VHMIASA · pith_short_8: PJQPS6YP

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/PJQPS6YP2VHMIASAIE5X5ZNTY2 \
  | 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: 7a60f97b0fd54ec40240413b7ee5b3c69dfcd528410cf575584c45e00c095740

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d21415156d595044afb24a85eb6e512c8ebc2ed5e5859ea8ab4ba54345dac14",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-09-21T16:41:10Z",
    "title_canon_sha256": "89bebdf733e0ad490284e37834fa5cb0c94d943b8845013bca13e97ebd2ccc3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.3473",
    "kind": "arxiv",
    "version": 3
  }
}