Pith Number

pith:6GTBNJOC

pith:2010:6GTBNJOCYFWXMD2555VSY7QGGE

not attested not anchored not stored refs pending

Basic Functional Analysis Puzzles of Spectral Flow

Bernhelm Booss-Bavnbek

arxiv:1010.6084 v1 · 2010-10-28 · math.SP · 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{6GTBNJOCYFWXMD2555VSY7QGGE}

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	2026-05-18T04:08:13.792481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1a616a5c2c16d760f5def6b2c7e063108a07ce9c8fe9157222b080d9f33a15e

Aliases

arxiv: 1010.6084 · arxiv_version: 1010.6084v1 · doi: 10.48550/arxiv.1010.6084 · pith_short_12: 6GTBNJOCYFWX · pith_short_16: 6GTBNJOCYFWXMD25 · pith_short_8: 6GTBNJOC

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/6GTBNJOCYFWXMD2555VSY7QGGE \
  | 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: f1a616a5c2c16d760f5def6b2c7e063108a07ce9c8fe9157222b080d9f33a15e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1b24fe70de0c19f6093b95d0ea0df534c44f90a22eb9cbca92a1d8f9a2796d7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-10-28T20:20:58Z",
    "title_canon_sha256": "62c9584f182b669dc2fd98805a6239c48ac01a63cfc79f67b603341f5b5613db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.6084",
    "kind": "arxiv",
    "version": 1
  }
}