Pith Number

pith:GPJMLF7Q

pith:2015:GPJMLF7QKTHIW6AKIMYYJUNPD2

not attested not anchored not stored refs pending

Spectral sum rules for confining large-N theories

Aleksey Cherman, David A. McGady, Masahito Yamazaki

arxiv:1512.09119 v2 · 2015-12-30 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPJMLF7QKTHIW6AKIMYYJUNPD2}

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	2026-05-18T01:12:16.916474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33d2c597f054ce8b780a433184d1af1ea4d43671e3ef23932d6855d21068c452

Aliases

arxiv: 1512.09119 · arxiv_version: 1512.09119v2 · doi: 10.48550/arxiv.1512.09119 · pith_short_12: GPJMLF7QKTHI · pith_short_16: GPJMLF7QKTHIW6AK · pith_short_8: GPJMLF7Q

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/GPJMLF7QKTHIW6AKIMYYJUNPD2 \
  | 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: 33d2c597f054ce8b780a433184d1af1ea4d43671e3ef23932d6855d21068c452

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a32b85af207b9ecb8c29821d288bf8c17729ac7ad04d339dd9f6f9af2aefd432",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-12-30T20:50:26Z",
    "title_canon_sha256": "e263b9163693ff9ed29446c3ec581e959abbe8fe73c293f5a0816ce5921d354c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09119",
    "kind": "arxiv",
    "version": 2
  }
}