Pith Number

pith:MMIVYYZ3

pith:2013:MMIVYYZ3NSIWKIDG2ECYDLHW7Q

not attested not anchored not stored refs pending

An algebraic characterization of injectivity in phase retrieval

Aldo Conca, Cynthia Vinzant, Dan Edidin, Milena Hering

arxiv:1312.0158 v1 · 2013-11-30 · math.FA · cs.IT · math.AG · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMIVYYZ3NSIWKIDG2ECYDLHW7Q}

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	2026-05-18T02:27:05.680992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63115c633b6c91652066d10581acf6fc28c91c4706b87a50f583325f19d363ec

Aliases

arxiv: 1312.0158 · arxiv_version: 1312.0158v1 · doi: 10.48550/arxiv.1312.0158 · pith_short_12: MMIVYYZ3NSIW · pith_short_16: MMIVYYZ3NSIWKIDG · pith_short_8: MMIVYYZ3

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/MMIVYYZ3NSIWKIDG2ECYDLHW7Q \
  | 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: 63115c633b6c91652066d10581acf6fc28c91c4706b87a50f583325f19d363ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71497598d9494a3a097c5d1caf5c17a3800db26b834973e51c33ddd8f35182c1",
    "cross_cats_sorted": [
      "cs.IT",
      "math.AG",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-11-30T22:34:13Z",
    "title_canon_sha256": "adf46d80758be29369f78e8d8e20f67b50801e333971f5ee1dab58b1b1954216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0158",
    "kind": "arxiv",
    "version": 1
  }
}