Pith Number

pith:5WF776MM

pith:2017:5WF776MMIHNC3TN4RKB2UOZ22P

not attested not anchored not stored refs pending

Reflection positivity and spectral theory

Feng Tian, Palle Jorgensen

arxiv:1705.05262 v2 · 2017-05-15 · math.FA · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5WF776MMIHNC3TN4RKB2UOZ22P}

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	2026-05-18T00:42:57.331657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed8bfff98c41da2dcdbc8a83aa3b3ad3dfc3a77866d8885c796c50d1424dc969

Aliases

arxiv: 1705.05262 · arxiv_version: 1705.05262v2 · doi: 10.48550/arxiv.1705.05262 · pith_short_12: 5WF776MMIHNC · pith_short_16: 5WF776MMIHNC3TN4 · pith_short_8: 5WF776MM

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/5WF776MMIHNC3TN4RKB2UOZ22P \
  | 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: ed8bfff98c41da2dcdbc8a83aa3b3ad3dfc3a77866d8885c796c50d1424dc969

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "946feb4bf2dcc6895494651a5a672169d76334be994648dc814e02f3a1fd3ffd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-05-15T14:23:48Z",
    "title_canon_sha256": "4bcd7351479ccd40b6ea8719ec5502a84940f08a96b4427d18122fa1b05182c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05262",
    "kind": "arxiv",
    "version": 2
  }
}