Pith Number

pith:WUDLPKGW

pith:2015:WUDLPKGW4SPWAN624KFBIL5AFD

not attested not anchored not stored refs pending

The asymptotic behavior of Palais-Smale sequences on manifolds with boundary

Sergio Almaraz

arxiv:1508.01058 v1 · 2015-08-05 · math.DG · 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{WUDLPKGW4SPWAN624KFBIL5AFD}

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	2026-05-18T01:35:44.162223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b506b7a8d6e49f6037dae28a142fa028cf27859d10b557914242b90a79625a8c

Aliases

arxiv: 1508.01058 · arxiv_version: 1508.01058v1 · doi: 10.48550/arxiv.1508.01058 · pith_short_12: WUDLPKGW4SPW · pith_short_16: WUDLPKGW4SPWAN62 · pith_short_8: WUDLPKGW

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/WUDLPKGW4SPWAN624KFBIL5AFD \
  | 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: b506b7a8d6e49f6037dae28a142fa028cf27859d10b557914242b90a79625a8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c14e50884cff41d064cc2fd36a653038d054f54cf15bdcc33ba2c2b810c025b5",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-08-05T13:06:36Z",
    "title_canon_sha256": "c06b4d14de15f7c408fb426c4d5c40e613922a725edd2c9d9af6fd37795500f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01058",
    "kind": "arxiv",
    "version": 1
  }
}