Pith Number

pith:4CO5PRSG

pith:2011:4CO5PRSGCSUFA4LQDIXXDX7HVL

not attested not anchored not stored refs pending

Existence of Hamiltonians for Some Singular Interactions on Manifolds

\c{C}a\u{g}lar Do\u{g}an, Fatih Erman, O. Teoman Turgut

arxiv:1111.2168 v1 · 2011-11-09 · 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{4CO5PRSGCSUFA4LQDIXXDX7HVL}

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	2026-05-18T01:59:43.227809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e09dd7c64614a85071701a2f71dfe7aac86d2bdc48459d7a82b2518a5f061ef8

Aliases

arxiv: 1111.2168 · arxiv_version: 1111.2168v1 · doi: 10.48550/arxiv.1111.2168 · pith_short_12: 4CO5PRSGCSUF · pith_short_16: 4CO5PRSGCSUFA4LQ · pith_short_8: 4CO5PRSG

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/4CO5PRSGCSUFA4LQDIXXDX7HVL \
  | 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: e09dd7c64614a85071701a2f71dfe7aac86d2bdc48459d7a82b2518a5f061ef8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3882ab51101e9f7e6e3b7325eb03dd1d402361c5d8d87c798095601bd9ba91fc",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-09T10:43:58Z",
    "title_canon_sha256": "9866be97226a81cf05646489cda708c18bd356727278bbf7626653446eed056b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2168",
    "kind": "arxiv",
    "version": 1
  }
}