Pith Number

pith:DN7EX3UB

pith:2009:DN7EX3UBIDA5TV73Q4DCURJIU5

not attested not anchored not stored refs pending

Creating desired potentials by embedding small inhomogeneities

A.G.Ramm

arxiv:0906.3214 v1 · 2009-06-17 · 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{DN7EX3UBIDA5TV73Q4DCURJIU5}

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	2026-05-18T02:13:19.363301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b7e4bee8140c1d9d7fb87062a4528a757c4b5afda9b77cc5dada5a3ad533496

Aliases

arxiv: 0906.3214 · arxiv_version: 0906.3214v1 · doi: 10.48550/arxiv.0906.3214 · pith_short_12: DN7EX3UBIDA5 · pith_short_16: DN7EX3UBIDA5TV73 · pith_short_8: DN7EX3UB

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/DN7EX3UBIDA5TV73Q4DCURJIU5 \
  | 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: 1b7e4bee8140c1d9d7fb87062a4528a757c4b5afda9b77cc5dada5a3ad533496

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86b9be07b8eecb45b67d30d96276f065b0ca5d9b3b14ac5a4e5e07a25367be4b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-06-17T15:26:28Z",
    "title_canon_sha256": "81c1c195cee99d6dc99b9245f0c654e454ca6507b2da56ffbf8ba4de80d111d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3214",
    "kind": "arxiv",
    "version": 1
  }
}