Pith Number

pith:PUT4WL2X

pith:2007:PUT4WL2XIJJ6FO4DN4RYVRW76H

not attested not anchored not stored refs pending

Constructing packings in Grassmannian manifolds via alternating projection

I. S. Dhillon, J. A. Tropp, R. W. Heath Jr, T. Strohmer

arxiv:0709.0535 v1 · 2007-09-04 · 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{PUT4WL2XIJJ6FO4DN4RYVRW76H}

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	2026-05-18T02:53:16.123569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d27cb2f574253e2bb836f238ac6dff1cf9a12aa7bd7d9fcd63ff2298ed2bb7e

Aliases

arxiv: 0709.0535 · arxiv_version: 0709.0535v1 · doi: 10.48550/arxiv.0709.0535 · pith_short_12: PUT4WL2XIJJ6 · pith_short_16: PUT4WL2XIJJ6FO4D · pith_short_8: PUT4WL2X

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/PUT4WL2XIJJ6FO4DN4RYVRW76H \
  | 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: 7d27cb2f574253e2bb836f238ac6dff1cf9a12aa7bd7d9fcd63ff2298ed2bb7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29f293aa3ee888fb8ffb434276e8681f128ef3ed93ad2522c4c71c92b058c9d5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "2007-09-04T20:23:40Z",
    "title_canon_sha256": "3b56b5a114e23b167dab646c715bea66f2dd4b337c5a806da84669cb2d2adc96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0535",
    "kind": "arxiv",
    "version": 1
  }
}