Pith Number

pith:DKGLXD66

pith:2009:DKGLXD66IFLWCAYDTPI5FKYIYT

not attested not anchored not stored refs pending

Ground states and formal duality relations in the Gaussian core model

Abhinav Kumar, Achill Schuermann, Henry Cohn

arxiv:0911.2169 v2 · 2009-11-11 · cond-mat.stat-mech · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKGLXD66IFLWCAYDTPI5FKYIYT}

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	2026-05-18T04:10:47.229883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a8cbb8fde41576103039bd1d2ab08c4ce3cf23b7240ff375498712af29e17ec

Aliases

arxiv: 0911.2169 · arxiv_version: 0911.2169v2 · doi: 10.48550/arxiv.0911.2169 · pith_short_12: DKGLXD66IFLW · pith_short_16: DKGLXD66IFLWCAYD · pith_short_8: DKGLXD66

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/DKGLXD66IFLWCAYDTPI5FKYIYT \
  | 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: 1a8cbb8fde41576103039bd1d2ab08c4ce3cf23b7240ff375498712af29e17ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ab95555b5befdb13cb6e2570ebb83de940f74ad05533479f7eccf6f66899185",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-11-11T16:18:57Z",
    "title_canon_sha256": "d09b5e60f056d154d257e09df86022e5e3005d75ee391205d06e4ec0778af861"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2169",
    "kind": "arxiv",
    "version": 2
  }
}