Pith Number

pith:KYSM4BPB

pith:2009:KYSM4BPBBKFWRBSSMMUUOL5XJM

not attested not anchored not stored refs pending

On the optimality of gluing over scales

Alexander Jaffe, James R. Lee, Mohammad Moharrami

arxiv:0910.0277 v3 · 2009-10-01 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KYSM4BPBBKFWRBSSMMUUOL5XJM}

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	2026-05-18T02:11:35.140938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5624ce05e10a8b6886526329472fb74b3b42c2c52b1a02c0c68d9d74c022322d

Aliases

arxiv: 0910.0277 · arxiv_version: 0910.0277v3 · doi: 10.48550/arxiv.0910.0277 · pith_short_12: KYSM4BPBBKFW · pith_short_16: KYSM4BPBBKFWRBSS · pith_short_8: KYSM4BPB

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/KYSM4BPBBKFWRBSSMMUUOL5XJM \
  | 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: 5624ce05e10a8b6886526329472fb74b3b42c2c52b1a02c0c68d9d74c022322d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6df7a90b7ff16a65083b739643b473a8188122b58e05a161b43a21fc6bac859",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2009-10-01T21:45:27Z",
    "title_canon_sha256": "14ae5d6fbbbf2bf2c6e9c8a8ff79fb569212523c4023398f5997c8feef8b27b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0277",
    "kind": "arxiv",
    "version": 3
  }
}