Pith Number

pith:B45R5MHZ

pith:2011:B45R5MHZMDZW2PVBDUX72XDOA5

not attested not anchored not stored refs pending

Pointwise estimates for the heat equation. Application to the free boundary of the obstacle problem with Dini coefficients

Erik Lindgren, R\'egis Monneau (CERMICS)

arxiv:1108.3161 v1 · 2011-08-16 · 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{B45R5MHZMDZW2PVBDUX72XDOA5}

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	2026-05-18T04:15:27.854371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f3b1eb0f960f36d3ea11d2ffd5c6e0762303f40ead0d8b9a8983aaf586c468f

Aliases

arxiv: 1108.3161 · arxiv_version: 1108.3161v1 · doi: 10.48550/arxiv.1108.3161 · pith_short_12: B45R5MHZMDZW · pith_short_16: B45R5MHZMDZW2PVB · pith_short_8: B45R5MHZ

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/B45R5MHZMDZW2PVBDUX72XDOA5 \
  | 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: 0f3b1eb0f960f36d3ea11d2ffd5c6e0762303f40ead0d8b9a8983aaf586c468f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12d4f43b167d5ef7fe11934144ab43973ea8bcc42284e0b0a441da77408d2537",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-16T06:14:15Z",
    "title_canon_sha256": "803e7c3cd0235bf6760d90d5ee2e0547ae0c65b2471de3faaaffb2e7934bba43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3161",
    "kind": "arxiv",
    "version": 1
  }
}