Pith Number

pith:TGGXYFXG

pith:2012:TGGXYFXGKBZR2TDTNPDAILMERM

not attested not anchored not stored refs pending

Extending Sobolev Functions with Partially Vanishing Traces from Locally (epsilon,delta)-Domains and Applications to Mixed Boundary Problems

Dorina Mitrea, Irina Mitrea, Kevin Brewster, Marius Mitrea

arxiv:1208.4177 v1 · 2012-08-21 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TGGXYFXGKBZR2TDTNPDAILMERM}

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	2026-05-18T03:48:24.748995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

998d7c16e650731d4c736bc6042d848b374ddf41f17a5c9bf1ebdf756263745d

Aliases

arxiv: 1208.4177 · arxiv_version: 1208.4177v1 · doi: 10.48550/arxiv.1208.4177 · pith_short_12: TGGXYFXGKBZR · pith_short_16: TGGXYFXGKBZR2TDT · pith_short_8: TGGXYFXG

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/TGGXYFXGKBZR2TDTNPDAILMERM \
  | 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: 998d7c16e650731d4c736bc6042d848b374ddf41f17a5c9bf1ebdf756263745d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "657d5eb303b962eabc06c7d2e54ae1d0cebace4e1e492278e78156d06838eb77",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-21T02:56:06Z",
    "title_canon_sha256": "25224a6af86873b35720774f441f618b78d1e2c89f990d512264704d3426c16c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4177",
    "kind": "arxiv",
    "version": 1
  }
}