Pith Number

pith:TLZ2H4I6

pith:2006:TLZ2H4I6A2S4YI733UOI2GSGUH

not attested not anchored not stored refs pending

The local and global parts of the basic zeta coefficient for operators on manifolds with boundary

Gerd Grubb

arxiv:math/0611854 v4 · 2006-11-28 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TLZ2H4I6A2S4YI733UOI2GSGUH}

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	2026-07-04T15:05:34.347497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9af3a3f11e06a5cc23fbdd1c8d1a46a1d994866b924c3e2a6ba743eb3936463d

Aliases

arxiv: math/0611854 · arxiv_version: math/0611854v4 · doi: 10.48550/arxiv.math/0611854 · pith_short_12: TLZ2H4I6A2S4 · pith_short_16: TLZ2H4I6A2S4YI73 · pith_short_8: TLZ2H4I6

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/TLZ2H4I6A2S4YI733UOI2GSGUH \
  | 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: 9af3a3f11e06a5cc23fbdd1c8d1a46a1d994866b924c3e2a6ba743eb3936463d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa5791933cc41badd3e364c75f5fd7fe0521cc3a802c5b9e9055baef030ae79b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-11-28T08:34:49Z",
    "title_canon_sha256": "3ae35a9aeb47043c07c2eff09580328618ea8a8e81ddae20278d40ccc71cb112"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611854",
    "kind": "arxiv",
    "version": 4
  }
}