Pith Number

pith:I7CHYOYJ

pith:1999:I7CHYOYJMCMRABR7GAHDPHBYBA

not attested not anchored not stored refs pending

Solution of Schwinger-Dyson Equations for ${\cal PT}$-Symmetric Quantum Field Theory

Carl M. Bender, Kimball A. Milton, Van M. Savage

arxiv:hep-th/9907045 v1 · 1999-07-07 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I7CHYOYJMCMRABR7GAHDPHBYBA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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.

Cited by

2 papers in Pith

Discrete Dyson-Schwinger equations

Review of strongly coupled regimes in gravity with Dyson-Schwinger approach

Receipt and verification

First computed	2026-05-18T04:13:57.169168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47c47c3b09609910063f300e379c3808039ed4b46ef572d7d7389f5b66d79b32

Aliases

arxiv: hep-th/9907045 · arxiv_version: hep-th/9907045v1 · doi: 10.48550/arxiv.hep-th/9907045 · pith_short_12: I7CHYOYJMCMR · pith_short_16: I7CHYOYJMCMRABR7 · pith_short_8: I7CHYOYJ

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/I7CHYOYJMCMRABR7GAHDPHBYBA \
  | 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: 47c47c3b09609910063f300e379c3808039ed4b46ef572d7d7389f5b66d79b32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21f16a70f8f7cf0f8706aa82861c7b1f5f22c208ad06b9a19676699ee5a1dd36",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-07-07T15:32:13Z",
    "title_canon_sha256": "a63db517caad4cac835150e88a6a664ca2a40d53238800d09f7c937a63184ad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9907045",
    "kind": "arxiv",
    "version": 1
  }
}