Pith Number

pith:LEULJELU

pith:2012:LEULJELUC2LBOSJNJATQ62OAK4

not attested not anchored not stored refs pending

Solving Quadratic Equations via PhaseLift when There Are About As Many Equations As Unknowns

Emmanuel J. Candes, Xiaodong Li

arxiv:1208.6247 v2 · 2012-08-30 · cs.IT · math.IT · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LEULJELUC2LBOSJNJATQ62OAK4}

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	2026-05-18T03:45:31.320482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5928b49174169617492d48270f69c0573aea038be65e2d7fb73d161f9b2caa79

Aliases

arxiv: 1208.6247 · arxiv_version: 1208.6247v2 · doi: 10.48550/arxiv.1208.6247 · pith_short_12: LEULJELUC2LB · pith_short_16: LEULJELUC2LBOSJN · pith_short_8: LEULJELU

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/LEULJELUC2LBOSJNJATQ62OAK4 \
  | 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: 5928b49174169617492d48270f69c0573aea038be65e2d7fb73d161f9b2caa79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da5311f513c014e5927590c382b480e475d74d71e9638e42a8ffa18d74088193",
    "cross_cats_sorted": [
      "math.IT",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-08-30T17:53:05Z",
    "title_canon_sha256": "bf038003fc8114cb651297db4ba0f4e0e741cd894a471b44feb95972ff8e12fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6247",
    "kind": "arxiv",
    "version": 2
  }
}