Pith Number

pith:O57OSZMH

pith:2016:O57OSZMHMPKZJ4XFXPLMLH27TK

not attested not anchored not stored refs pending

A-posteriori snapshot location for POD in optimal control of linear parabolic equations

Alessandro Alla, Carmen Graessle, Michael Hinze

arxiv:1608.08665 v1 · 2016-08-30 · 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{O57OSZMHMPKZJ4XFXPLMLH27TK}

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	2026-05-18T01:06:40.243744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

777ee9658763d594f2e5bbd6c59f5f9abf0cdee9fdb54f59b373e725bf3fbd18

Aliases

arxiv: 1608.08665 · arxiv_version: 1608.08665v1 · doi: 10.48550/arxiv.1608.08665 · pith_short_12: O57OSZMHMPKZ · pith_short_16: O57OSZMHMPKZJ4XF · pith_short_8: O57OSZMH

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/O57OSZMHMPKZJ4XFXPLMLH27TK \
  | 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: 777ee9658763d594f2e5bbd6c59f5f9abf0cdee9fdb54f59b373e725bf3fbd18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "380ea9c400cad8ed3139a6f5809cff6a5381e5afe007885a53766da852bb88fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-08-30T21:57:24Z",
    "title_canon_sha256": "c47cd22f851a2cfcb7a8c07bd48d50c2c0bf8898ff0cf608b51a50b52514a0e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08665",
    "kind": "arxiv",
    "version": 1
  }
}