Pith Number

pith:SIQU47TQ

pith:2013:SIQU47TQ5ILSZHOQQWA5YXTDCX

not attested not anchored not stored refs pending

Averaging on Manifolds by Embedding Algorithm

C\u{a}lin-Adrian Popa, Dan Com\u{a}nescu, Petre Birtea

arxiv:1304.0592 v2 · 2013-04-02 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SIQU47TQ5ILSZHOQQWA5YXTDCX}

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	2026-05-18T00:06:44.323748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92214e7e70ea172c9dd08581dc5e6315f3ba7eab9c77d494ad49cedcb8a22ec5

Aliases

arxiv: 1304.0592 · arxiv_version: 1304.0592v2 · doi: 10.48550/arxiv.1304.0592 · pith_short_12: SIQU47TQ5ILS · pith_short_16: SIQU47TQ5ILSZHOQ · pith_short_8: SIQU47TQ

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/SIQU47TQ5ILSZHOQQWA5YXTDCX \
  | 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: 92214e7e70ea172c9dd08581dc5e6315f3ba7eab9c77d494ad49cedcb8a22ec5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2b0be4d6ffb00ff22c896cebfc5731e77c974b9829050f0684f883ced4e4a3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-04-02T11:33:15Z",
    "title_canon_sha256": "fb0c9b37384e857fe0092b3bab52a6bac6da750776aa2ae0d009b445bd95db51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0592",
    "kind": "arxiv",
    "version": 2
  }
}