Pith Number

pith:5YYHL4VU

pith:2012:5YYHL4VUCI6YAEDOSJCPEWQRLU

not attested not anchored not stored refs pending

Accurate calculation of the solutions to the Thomas-Fermi equations

Francisco M. Fern\'andez, John P. Boyd, Paolo Amore

arxiv:1205.1704 v2 · 2012-05-08 · quant-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{5YYHL4VUCI6YAEDOSJCPEWQRLU}

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	2026-05-18T03:01:47.099253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee3075f2b4123d80106e9244f25a115d16a4c323ef99362db3f8e5ed582653f9

Aliases

arxiv: 1205.1704 · arxiv_version: 1205.1704v2 · doi: 10.48550/arxiv.1205.1704 · pith_short_12: 5YYHL4VUCI6Y · pith_short_16: 5YYHL4VUCI6YAEDO · pith_short_8: 5YYHL4VU

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/5YYHL4VUCI6YAEDOSJCPEWQRLU \
  | 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: ee3075f2b4123d80106e9244f25a115d16a4c323ef99362db3f8e5ed582653f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bee44489e57a679c9dee541024a41b7f70c6159ff28390399a2f393c6cfc741",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-05-08T14:08:16Z",
    "title_canon_sha256": "79e163039fd4e76f7f0a80a671bf0e66bfebe8201e31ba7fe32760f4cb856239"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1704",
    "kind": "arxiv",
    "version": 2
  }
}