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Pith Number

pith:CZRFKT2O

pith:1993:CZRFKT2OHJ7GBZ7UUPUFUJ7QWD
not attested not anchored not stored refs pending

Anomalous Fluctuations of Directed Polymers in Random Media

Daniel S. Fisher (Harvard University), Terence Hwa

arxiv:cond-mat/9309016 v1 · 1993-09-14 · cond-mat

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CZRFKT2OHJ7GBZ7UUPUFUJ7QWD}

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 2026-05-18T01:07:22.323902Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1662554f4e3a7e60e7f4a3e85a27f0b0e770c3815331521797438f9b5881e877

Aliases

arxiv: cond-mat/9309016 · arxiv_version: cond-mat/9309016v1 · doi: 10.48550/arxiv.cond-mat/9309016 · pith_short_12: CZRFKT2OHJ7G · pith_short_16: CZRFKT2OHJ7GBZ7U · pith_short_8: CZRFKT2O
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CZRFKT2OHJ7GBZ7UUPUFUJ7QWD \
  | 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: 1662554f4e3a7e60e7f4a3e85a27f0b0e770c3815331521797438f9b5881e877
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "34df654ec81da620851125b8267e284e206c12e7c34d09ad3bedb6fde219e0e9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat",
    "submitted_at": "1993-09-14T11:39:25Z",
    "title_canon_sha256": "2d40e063374d6c92072bfae86f1312c8d5a6a7795b6a205ee2e37bc840f282f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9309016",
    "kind": "arxiv",
    "version": 1
  }
}