Pith Number

pith:W7CIOD3T

pith:2016:W7CIOD3T7DGSOAZWDGBJYR4PWQ

not attested not anchored not stored refs pending

Rapid solution of the cryo-EM reconstruction problem by frequency marching

Alex Barnett, Andras Pataki, Leslie Greengard, Marina Spivak

arxiv:1610.00404 v2 · 2016-10-03 · math.NA · q-bio.BM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7CIOD3T7DGSOAZWDGBJYR4PWQ}

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	2026-05-18T00:43:13.964157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7c4870f73f8cd27033619829c478fb416a5cce793129afe1d4d518211249338

Aliases

arxiv: 1610.00404 · arxiv_version: 1610.00404v2 · doi: 10.48550/arxiv.1610.00404 · pith_short_12: W7CIOD3T7DGS · pith_short_16: W7CIOD3T7DGSOAZW · pith_short_8: W7CIOD3T

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/W7CIOD3T7DGSOAZWDGBJYR4PWQ \
  | 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: b7c4870f73f8cd27033619829c478fb416a5cce793129afe1d4d518211249338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4eaeefb0d00a176818d5e36080001341441e130344c4f7b73461172f80934ed",
    "cross_cats_sorted": [
      "q-bio.BM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-10-03T04:47:00Z",
    "title_canon_sha256": "22baae8ec00817f6a45decc5911b761cc3a577a108dbb4880c36d2b43be905e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00404",
    "kind": "arxiv",
    "version": 2
  }
}