Pith Number

pith:JZEITKV6

pith:2013:JZEITKV64SKQB47K2WV73P3HS7

not attested not anchored not stored refs pending

Sequential Weak Approximation for Maps of Finite Hessian Energy

Robert Hardt, Tristan Rivi\`ere

arxiv:1305.7315 v1 · 2013-05-31 · math.FA · 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{JZEITKV64SKQB47K2WV73P3HS7}

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	2026-05-18T03:22:07.180687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e4889aabee49500f3ead5abfdbf6797dc439631b92c52f629c41ecd8f8ad66d

Aliases

arxiv: 1305.7315 · arxiv_version: 1305.7315v1 · doi: 10.48550/arxiv.1305.7315 · pith_short_12: JZEITKV64SKQ · pith_short_16: JZEITKV64SKQB47K · pith_short_8: JZEITKV6

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/JZEITKV64SKQB47K2WV73P3HS7 \
  | 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: 4e4889aabee49500f3ead5abfdbf6797dc439631b92c52f629c41ecd8f8ad66d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1acae92310cfaa84e53acd635c65a9dab9a7c71207c1726327da22ddf4fa825c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-05-31T07:22:53Z",
    "title_canon_sha256": "1ecb9e485a18f76a8f22d4d75bca0ba2e9eeded66befd54e32eae6fb41050a62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7315",
    "kind": "arxiv",
    "version": 1
  }
}