Pith Number

pith:F7X64YGB

pith:2024:F7X64YGBAFSWNE6ESYOGWT64E5

not attested not anchored not stored refs pending

Envelope representation of Hamilton-Jacobi equations from spin glasses

Hong-Bin Chen

arxiv:2412.20610 v2 · 2024-12-29 · math.AP · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F7X64YGBAFSWNE6ESYOGWT64E5}

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.

Cited by

1 paper in Pith

Balanced multi-species spin glasses

Receipt and verification

First computed	2026-07-05T12:07:02.754196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fefee60c101656693c4961c6b4fdc27643d839e273142fd57daac46ed75f1bf

Aliases

arxiv: 2412.20610 · arxiv_version: 2412.20610v2 · doi: 10.48550/arxiv.2412.20610 · pith_short_12: F7X64YGBAFSW · pith_short_16: F7X64YGBAFSWNE6E · pith_short_8: F7X64YGB

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/F7X64YGBAFSWNE6ESYOGWT64E5 \
  | 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: 2fefee60c101656693c4961c6b4fdc27643d839e273142fd57daac46ed75f1bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02b853410b131de3aa10e42b8c561db1f3f9ea58a31f394d4c39254e861a3602",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-29T22:54:17Z",
    "title_canon_sha256": "8773990f72d1c28d12677e6a5dc0121a6ba7375b887d8548c8fdba6e7a737c72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20610",
    "kind": "arxiv",
    "version": 2
  }
}