Pith Number

pith:7VBAYVKR

pith:2007:7VBAYVKRPQVAUIJ6DEARUE2TLW

not attested not anchored not stored refs pending

Spectral Functions of Singular Operators

Pablo Pisani

arxiv:math-ph/0703083 v2 · 2007-03-28 · math-ph · hep-th · 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{7VBAYVKRPQVAUIJ6DEARUE2TLW}

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	2026-05-18T02:39:09.450385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd420c55517c2a0a213e19011a13535d89a9f055ea1568ce38c20c49504c4bd9

Aliases

arxiv: math-ph/0703083 · arxiv_version: math-ph/0703083v2 · doi: 10.48550/arxiv.math-ph/0703083 · pith_short_12: 7VBAYVKRPQVA · pith_short_16: 7VBAYVKRPQVAUIJ6 · pith_short_8: 7VBAYVKR

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/7VBAYVKRPQVAUIJ6DEARUE2TLW \
  | 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: fd420c55517c2a0a213e19011a13535d89a9f055ea1568ce38c20c49504c4bd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11f26af1a12949b1c6e58df6af835c0fde475058a1c3eaf473f11aba3fae871c",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2007-03-28T19:23:44Z",
    "title_canon_sha256": "b504840690931d7fcc903872e25ef95000110b32bbe00af054d02e38384607da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0703083",
    "kind": "arxiv",
    "version": 2
  }
}