Pith Number

pith:F2KH2XMP

pith:2008:F2KH2XMPJNJHP4SDVVDACGADAN

not attested not anchored not stored refs pending

A Note on analytic formulas of Feynman propagators in position space

An Zhao, Hong-Hao Zhang, Kai-Xi Feng, Si-Wei Qiu, Xue-Song Li

arxiv:0811.1261 v1 · 2008-11-08 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F2KH2XMPJNJHP4SDVVDACGADAN}

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	2026-05-18T04:37:34.451865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e947d5d8f4b5277f243ad46011803034e2605afb1122a60f31f4e64bf2d88f4

Aliases

arxiv: 0811.1261 · arxiv_version: 0811.1261v1 · doi: 10.48550/arxiv.0811.1261 · pith_short_12: F2KH2XMPJNJH · pith_short_16: F2KH2XMPJNJHP4SD · pith_short_8: F2KH2XMP

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/F2KH2XMPJNJHP4SDVVDACGADAN \
  | 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: 2e947d5d8f4b5277f243ad46011803034e2605afb1122a60f31f4e64bf2d88f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1482ed19f0c4d2f364ec6954ab7bada583e174edb4c408bbafadd33f25467c04",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-11-08T15:07:40Z",
    "title_canon_sha256": "6c852c1e89dc34ec2882b87535ea2b03a49befebb038d716d53d06da125ce77c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.1261",
    "kind": "arxiv",
    "version": 1
  }
}