Pith Number

pith:ZZXPHJT3

pith:2010:ZZXPHJT3KEIBRVOM32OSOOAAEN

not attested not anchored not stored refs pending

Feynman's path-integral polaron treatment approached using time-ordered operator calculus

J. T. Devreese, S. N. Klimin

arxiv:1008.3881 v2 · 2010-08-23 · cond-mat.other

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZZXPHJT3KEIBRVOM32OSOOAAEN}

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	2026-05-18T02:05:43.650006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce6ef3a67b511018d5ccde9d273800234722a422d327c697cfd87b2cce942b01

Aliases

arxiv: 1008.3881 · arxiv_version: 1008.3881v2 · doi: 10.48550/arxiv.1008.3881 · pith_short_12: ZZXPHJT3KEIB · pith_short_16: ZZXPHJT3KEIBRVOM · pith_short_8: ZZXPHJT3

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/ZZXPHJT3KEIBRVOM32OSOOAAEN \
  | 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: ce6ef3a67b511018d5ccde9d273800234722a422d327c697cfd87b2cce942b01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92ce36f6878d0893d15dddf680274b328262a6960b0db1a99e49a61ea740ead1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.other",
    "submitted_at": "2010-08-23T18:44:14Z",
    "title_canon_sha256": "9978db639e02d7b5bd1ee798fac7bac5c461b8a2364b946abf060fa1359b79f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3881",
    "kind": "arxiv",
    "version": 2
  }
}