Pith Number

pith:ZDCAATAO

pith:1995:ZDCAATAO7HNJKXN32SYKKFVZBU

not attested not anchored not stored refs pending

An Exactly Soluble Model of Directed Polymers with Multiple Phase Transitions

G. Forgacs, K. Ziegler

arxiv:cond-mat/9503027 v1 · 1995-03-06 · cond-mat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDCAATAO7HNJKXN32SYKKFVZBU}

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	2026-05-18T01:07:11.734929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8c4004c0ef9da955dbbd4b0a516b90d2f4c7ec42cfca417abdc008b06ddbd53

Aliases

arxiv: cond-mat/9503027 · arxiv_version: cond-mat/9503027v1 · doi: 10.48550/arxiv.cond-mat/9503027 · pith_short_12: ZDCAATAO7HNJ · pith_short_16: ZDCAATAO7HNJKXN3 · pith_short_8: ZDCAATAO

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/ZDCAATAO7HNJKXN32SYKKFVZBU \
  | 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: c8c4004c0ef9da955dbbd4b0a516b90d2f4c7ec42cfca417abdc008b06ddbd53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "427bc5e617a5c42670074f18d5ae8f6a9e3b5f5dfbefffc65f5720cd953cfb27",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat",
    "submitted_at": "1995-03-06T12:23:01Z",
    "title_canon_sha256": "4467b6bf459df2ad198358e323e9daa9ad761428ff1ec6564d0930811aa9bb1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9503027",
    "kind": "arxiv",
    "version": 1
  }
}