Pith Number

pith:AMDLOBJF

pith:2015:AMDLOBJFXZ56ZGPYRM4H6JOPQF

not attested not anchored not stored refs pending

The cost of controlling degenerate parabolic equations by boundary controls

Judith Vancostenoble, Patrick Martinez, Piermarco Cannarsa

arxiv:1511.06857 v1 · 2015-11-21 · math.OC · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AMDLOBJFXZ56ZGPYRM4H6JOPQF}

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	2026-05-18T00:38:11.705346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0306b70525be7bec99f88b387f25cf817e13aaa257a7f555818cc8f3c4941e5c

Aliases

arxiv: 1511.06857 · arxiv_version: 1511.06857v1 · doi: 10.48550/arxiv.1511.06857 · pith_short_12: AMDLOBJFXZ56 · pith_short_16: AMDLOBJFXZ56ZGPY · pith_short_8: AMDLOBJF

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/AMDLOBJFXZ56ZGPYRM4H6JOPQF \
  | 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: 0306b70525be7bec99f88b387f25cf817e13aaa257a7f555818cc8f3c4941e5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "734eb8061e87ef15bf4b34e5cbf2b5b2b8f05902296360b022c4af71778bc148",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-11-21T09:15:33Z",
    "title_canon_sha256": "cb73df9cf150c59e86cafdf1f23eca907084a80cba2aa30ec120fa08e66221c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06857",
    "kind": "arxiv",
    "version": 1
  }
}