Pith Number

pith:TIMU2XKJ

pith:2009:TIMU2XKJNMYHM55XLQOEW2SH6Y

not attested not anchored not stored refs pending

Creating materials with a desired refraction coefficient

A.G.Ramm

arxiv:0909.0521 v1 · 2009-09-02 · 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{TIMU2XKJNMYHM55XLQOEW2SH6Y}

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	2026-05-18T02:12:00.616665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a194d5d496b307677b75c1c4b6a47f63d01dc3b0e9f8edc278ef79ccd18cb47

Aliases

arxiv: 0909.0521 · arxiv_version: 0909.0521v1 · doi: 10.48550/arxiv.0909.0521 · pith_short_12: TIMU2XKJNMYH · pith_short_16: TIMU2XKJNMYHM55X · pith_short_8: TIMU2XKJ

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/TIMU2XKJNMYHM55XLQOEW2SH6Y \
  | 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: 9a194d5d496b307677b75c1c4b6a47f63d01dc3b0e9f8edc278ef79ccd18cb47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddf7f0552844b70d920cf9475cae5b4f7ba6407b86750899fed9a97187893474",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-09-02T20:18:38Z",
    "title_canon_sha256": "33ca67dd7278f04c090c561fc7bed79d9ce264fbe91ccbfaf8c51ba0d409704a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0521",
    "kind": "arxiv",
    "version": 1
  }
}