Pith Number

pith:PH25ACXY

pith:2026:PH25ACXY4WGBTANLY7LE2Y54MJ

not attested not anchored not stored refs pending

On the Universality of Probe Complexity in $\mathcal{N}=4$ SYM

Eric L. Graef, Hendrik J.R. Van Zyl, Horatiu Nastase, Jeff Murugan

arxiv:2606.21662 v1 · 2026-06-19 · 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{PH25ACXY4WGBTANLY7LE2Y54MJ}

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	2026-06-23T01:13:18.293374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79f5d00af8e58c1981abc7d64d63bc62425d3ea8e29cce188c355b61d71599f3

Aliases

arxiv: 2606.21662 · arxiv_version: 2606.21662v1 · doi: 10.48550/arxiv.2606.21662 · pith_short_12: PH25ACXY4WGB · pith_short_16: PH25ACXY4WGBTANL · pith_short_8: PH25ACXY

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/PH25ACXY4WGBTANLY7LE2Y54MJ \
  | 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: 79f5d00af8e58c1981abc7d64d63bc62425d3ea8e29cce188c355b61d71599f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67cebffd71ea03dca9256b0f7289e37df8d1671772f81809ee6148e7d762da6b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-19T18:08:51Z",
    "title_canon_sha256": "ab42ced7da2cd864da6c4d4e30e1bcb5d77fdd9e218156f5855e754ad1203379"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21662",
    "kind": "arxiv",
    "version": 1
  }
}