Pith Number

pith:BB73PQ73

pith:2009:BB73PQ73QBZ3SSCOJHCLPVYQ3M

not attested not anchored not stored refs pending

A rigorous analysis using optimal transport theory for a two-reflector design problem with a point source

Tilmann Glimm

arxiv:0908.2464 v1 · 2009-08-17 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BB73PQ73QBZ3SSCOJHCLPVYQ3M}

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	2026-05-18T02:12:25.832810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

087fb7c3fb8073b9484e49c4b7d710db3d2f18de9437b800fe6568d5ab69b317

Aliases

arxiv: 0908.2464 · arxiv_version: 0908.2464v1 · doi: 10.48550/arxiv.0908.2464 · pith_short_12: BB73PQ73QBZ3 · pith_short_16: BB73PQ73QBZ3SSCO · pith_short_8: BB73PQ73

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/BB73PQ73QBZ3SSCOJHCLPVYQ3M \
  | 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: 087fb7c3fb8073b9484e49c4b7d710db3d2f18de9437b800fe6568d5ab69b317

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20f28502906bbe4288716ebcc4267e338c5ccf899c07f64ca4f5e904eb72a592",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-08-17T23:15:31Z",
    "title_canon_sha256": "1c3ba9295905d5fccbf9cdbd1110d5bdf925ddc8c1fc456ed44f86ab67c37b7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2464",
    "kind": "arxiv",
    "version": 1
  }
}