Pith Number

pith:I3EHMRK2

pith:2011:I3EHMRK2BKOQPAJQK7WHI4LI55

not attested not anchored not stored refs pending

Green's function asymptotics near the internal edges of spectra of periodic elliptic operators. Spectral edge case

Andrew Raich, Peter Kuchment

arxiv:1110.0225 v1 · 2011-10-02 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3EHMRK2BKOQPAJQK7WHI4LI55}

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	2026-05-18T01:34:40.287187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46c876455a0a9d07813057ec747168ef4d26d2c97c6a8551416e90902990c11b

Aliases

arxiv: 1110.0225 · arxiv_version: 1110.0225v1 · doi: 10.48550/arxiv.1110.0225 · pith_short_12: I3EHMRK2BKOQ · pith_short_16: I3EHMRK2BKOQPAJQ · pith_short_8: I3EHMRK2

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/I3EHMRK2BKOQPAJQK7WHI4LI55 \
  | 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: 46c876455a0a9d07813057ec747168ef4d26d2c97c6a8551416e90902990c11b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39c1e8d11291f63c84652f4a82fe85aa3873528bfa12b0642f6b3912230c53da",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-02T20:08:13Z",
    "title_canon_sha256": "b3483e574d6e34a6db4a221ca45d5a9e9c384b31a407f42f5f334c3eb8303226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0225",
    "kind": "arxiv",
    "version": 1
  }
}