Pith Number

pith:MTCOWXV7

pith:2010:MTCOWXV7URZKJ27YCWEVTBXBR4

not attested not anchored not stored refs pending

Asymptotic Parametrices of Elliptic Edge Operators

B.-W. Schulze, G. Harutyunyan, H.-J. Flad

arxiv:1010.1453 v2 · 2010-10-07 · 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{MTCOWXV7URZKJ27YCWEVTBXBR4}

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	2026-05-18T04:27:37.987733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64c4eb5ebfa472a4ebf815895986e18f3a362856e9534698d3226bea64067f99

Aliases

arxiv: 1010.1453 · arxiv_version: 1010.1453v2 · doi: 10.48550/arxiv.1010.1453 · pith_short_12: MTCOWXV7URZK · pith_short_16: MTCOWXV7URZKJ27Y · pith_short_8: MTCOWXV7

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/MTCOWXV7URZKJ27YCWEVTBXBR4 \
  | 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: 64c4eb5ebfa472a4ebf815895986e18f3a362856e9534698d3226bea64067f99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2310978855381a4be46e291255334d060dbdccaf9f3676aa764c85685142c713",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-07T15:20:17Z",
    "title_canon_sha256": "9f57aacafb3a3cf2b19bcb392e14e04bd31a4e1a87a61823f0316545fbf909ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1453",
    "kind": "arxiv",
    "version": 2
  }
}