Pith Number

pith:2UH6X4KX

pith:2007:2UH6X4KXMBO2HMTLFPOK37B3AJ

not attested not anchored not stored refs pending

Variational principle for Hamiltonians with degenerate bottom

Konstantin Pankrashkin

arxiv:0710.4790 v1 · 2007-10-25 · math-ph · 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{2UH6X4KXMBO2HMTLFPOK37B3AJ}

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	2026-05-18T00:37:06.336827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d50febf157605da3b26b2bdcadfc3b0250edc3a9d73f1ef0431c704f88b9804e

Aliases

arxiv: 0710.4790 · arxiv_version: 0710.4790v1 · doi: 10.48550/arxiv.0710.4790 · pith_short_12: 2UH6X4KXMBO2 · pith_short_16: 2UH6X4KXMBO2HMTL · pith_short_8: 2UH6X4KX

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/2UH6X4KXMBO2HMTLFPOK37B3AJ \
  | 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: d50febf157605da3b26b2bdcadfc3b0250edc3a9d73f1ef0431c704f88b9804e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "531a246d8360569ea61fe214459bc42fb78a107ddb9b1e82fe73e3d51ffdd6cc",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-10-25T11:51:03Z",
    "title_canon_sha256": "26c2a79e5b2232453c0fccf3c7c7d0b2312557b0e3b44a75dea4f5794bb51262"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.4790",
    "kind": "arxiv",
    "version": 1
  }
}