Pith Number

pith:X5NRDORU

pith:2015:X5NRDORUL6472MTOPCIUNFVRF6

not attested not anchored not stored refs pending

What is QFT? Resurgent trans-series, Lefschetz thimbles, and new exact saddles

Gerald V. Dunne, Mithat Unsal

arxiv:1511.05977 v1 · 2015-11-18 · hep-lat · 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{X5NRDORUL6472MTOPCIUNFVRF6}

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	2026-05-18T01:26:30.872595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf5b11ba345fb9fd326e78914696b12fa96474fe5fd7861e3a597249c2ef18cc

Aliases

arxiv: 1511.05977 · arxiv_version: 1511.05977v1 · doi: 10.48550/arxiv.1511.05977 · pith_short_12: X5NRDORUL647 · pith_short_16: X5NRDORUL6472MTO · pith_short_8: X5NRDORU

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/X5NRDORUL6472MTOPCIUNFVRF6 \
  | 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: bf5b11ba345fb9fd326e78914696b12fa96474fe5fd7861e3a597249c2ef18cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa5b5e97b9dc08602b6b76f7da7db99789ba47d2382ca0f3079f4c51d22203e1",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2015-11-18T21:08:22Z",
    "title_canon_sha256": "9bb5a124ddc5c28dccd511ba88ddb804a24f168de03ef31503dc0a2e5e3fc14b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05977",
    "kind": "arxiv",
    "version": 1
  }
}