Pith Number

pith:TSSZYT6T

pith:2016:TSSZYT6TDM5FI7SL7DCWPYNEFI

not attested not anchored not stored refs pending

Thermodynamic limit for directed polymers and stationary solutions of the Burgers equation

Liying Li, Yuri Bakhtin

arxiv:1607.04864 v2 · 2016-07-17 · math.PR · math-ph · math.AP · math.DS · 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{TSSZYT6TDM5FI7SL7DCWPYNEFI}

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	2026-05-18T00:47:38.161804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ca59c4fd31b3a547e4bf8c567e1a42a1fdc9e288504ba2fea4fe3add61152ae

Aliases

arxiv: 1607.04864 · arxiv_version: 1607.04864v2 · doi: 10.48550/arxiv.1607.04864 · pith_short_12: TSSZYT6TDM5F · pith_short_16: TSSZYT6TDM5FI7SL · pith_short_8: TSSZYT6T

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/TSSZYT6TDM5FI7SL7DCWPYNEFI \
  | 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: 9ca59c4fd31b3a547e4bf8c567e1a42a1fdc9e288504ba2fea4fe3add61152ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c997fa8eb5c8695fcc65805a8374379cd13a004705c252cf82e0355d0cd9025d",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-17T13:02:24Z",
    "title_canon_sha256": "293f4142637d4aa6d4eb496ced281371bcffe10d8f60e75087449d00c1947923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04864",
    "kind": "arxiv",
    "version": 2
  }
}