Pith Number

pith:UGE4XG4B

pith:2009:UGE4XG4BQ2EXELRAH42UU5YLYA

not attested not anchored not stored refs pending

Reflection above the barrier as tunneling in momentum space

R. L. Jaffe

arxiv:0910.4564 v2 · 2009-10-23 · 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{UGE4XG4BQ2EXELRAH42UU5YLYA}

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	2026-05-18T02:11:12.080093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a189cb9b818689722e203f354a770bc02312b59292f72f192c2db786bcdd9f62

Aliases

arxiv: 0910.4564 · arxiv_version: 0910.4564v2 · doi: 10.48550/arxiv.0910.4564 · pith_short_12: UGE4XG4BQ2EX · pith_short_16: UGE4XG4BQ2EXELRA · pith_short_8: UGE4XG4B

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/UGE4XG4BQ2EXELRAH42UU5YLYA \
  | 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: a189cb9b818689722e203f354a770bc02312b59292f72f192c2db786bcdd9f62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b0a1424fcb16c745a3c9772d310f3ae8dcf84a804b97212066d9c538fa18051",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-10-23T18:34:04Z",
    "title_canon_sha256": "a78d3de7c23e72fc5fe74e62ca6b9264a8b498c6f610cfa9bc26220c0cf008ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4564",
    "kind": "arxiv",
    "version": 2
  }
}